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Finding the Third Proportional to 359,313 and 766,831.13

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Solution

The third proportional to 359,313 and 766,831.13 is: 1,636,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,313 : 766,831.13 = 766,831.13 : x
  2. Step 2: Convert to fraction form
    359,313/766,831.13 = 766,831.13/x
  3. Step 3: Cross multiply
    359,313x = 766,831.13 × 766,831.13
  4. Step 4: Simplify right side
    359,313x = 588,029,974,268.77
  5. Step 5: Solve for x
    x = 588,029,974,268.77/359,313
  6. Step 6: Final answer
    x = 1,636,539.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.