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Finding the Third Proportional to 387,345.09 and 830,721.94

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Solution

The third proportional to 387,345.09 and 830,721.94 is: 1,781,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,345.09 : 830,721.94 = 830,721.94 : x
  2. Step 2: Convert to fraction form
    387,345.09/830,721.94 = 830,721.94/x
  3. Step 3: Cross multiply
    387,345.09x = 830,721.94 × 830,721.94
  4. Step 4: Simplify right side
    387,345.09x = 690,098,937,443.75
  5. Step 5: Solve for x
    x = 690,098,937,443.75/387,345.09
  6. Step 6: Final answer
    x = 1,781,612.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.