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Finding the Third Proportional to 359,688 and 756,384

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Solution

The third proportional to 359,688 and 756,384 is: 1,590,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,688 : 756,384 = 756,384 : x
  2. Step 2: Convert to fraction form
    359,688/756,384 = 756,384/x
  3. Step 3: Cross multiply
    359,688x = 756,384 × 756,384
  4. Step 4: Simplify right side
    359,688x = 572,116,755,456
  5. Step 5: Solve for x
    x = 572,116,755,456/359,688
  6. Step 6: Final answer
    x = 1,590,591.72

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.