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Finding the Third Proportional to 286,687,601.44 and 442,705,564.13

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Solution

The third proportional to 286,687,601.44 and 442,705,564.13 is: 683,629,900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,687,601.44 : 442,705,564.13 = 442,705,564.13 : x
  2. Step 2: Convert to fraction form
    286,687,601.44/442,705,564.13 = 442,705,564.13/x
  3. Step 3: Cross multiply
    286,687,601.44x = 442,705,564.13 × 442,705,564.13
  4. Step 4: Simplify right side
    286,687,601.44x = 195,988,216,507,234,496
  5. Step 5: Solve for x
    x = 195,988,216,507,234,496/286,687,601.44
  6. Step 6: Final answer
    x = 683,629,900.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.