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Finding the Third Proportional to 261,804 and 564,792

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Solution

The third proportional to 261,804 and 564,792 is: 1,218,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,804 : 564,792 = 564,792 : x
  2. Step 2: Convert to fraction form
    261,804/564,792 = 564,792/x
  3. Step 3: Cross multiply
    261,804x = 564,792 × 564,792
  4. Step 4: Simplify right side
    261,804x = 318,990,003,264
  5. Step 5: Solve for x
    x = 318,990,003,264/261,804
  6. Step 6: Final answer
    x = 1,218,430.59

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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.