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Finding the Third Proportional to 286,690,918.50 and 442,710,321.75

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Solution

The third proportional to 286,690,918.50 and 442,710,321.75 is: 683,636,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,690,918.50 : 442,710,321.75 = 442,710,321.75 : x
  2. Step 2: Convert to fraction form
    286,690,918.50/442,710,321.75 = 442,710,321.75/x
  3. Step 3: Cross multiply
    286,690,918.50x = 442,710,321.75 × 442,710,321.75
  4. Step 4: Simplify right side
    286,690,918.50x = 195,992,428,983,988,512
  5. Step 5: Solve for x
    x = 195,992,428,983,988,512/286,690,918.50
  6. Step 6: Final answer
    x = 683,636,684.45

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