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Finding the Third Proportional to 261,792 and 564,768

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Solution

The third proportional to 261,792 and 564,768 is: 1,218,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,792 : 564,768 = 564,768 : x
  2. Step 2: Convert to fraction form
    261,792/564,768 = 564,768/x
  3. Step 3: Cross multiply
    261,792x = 564,768 × 564,768
  4. Step 4: Simplify right side
    261,792x = 318,962,893,824
  5. Step 5: Solve for x
    x = 318,962,893,824/261,792
  6. Step 6: Final answer
    x = 1,218,382.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.