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Finding the Third Proportional to 586,338.75 and 929,188.13

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Solution

The third proportional to 586,338.75 and 929,188.13 is: 1,472,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,338.75 : 929,188.13 = 929,188.13 : x
  2. Step 2: Convert to fraction form
    586,338.75/929,188.13 = 929,188.13/x
  3. Step 3: Cross multiply
    586,338.75x = 929,188.13 × 929,188.13
  4. Step 4: Simplify right side
    586,338.75x = 863,390,571,641.02
  5. Step 5: Solve for x
    x = 863,390,571,641.02/586,338.75
  6. Step 6: Final answer
    x = 1,472,511.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.