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Finding the Third Proportional to 261,088 and 572,612

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Solution

The third proportional to 261,088 and 572,612 is: 1,255,839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,088 : 572,612 = 572,612 : x
  2. Step 2: Convert to fraction form
    261,088/572,612 = 572,612/x
  3. Step 3: Cross multiply
    261,088x = 572,612 × 572,612
  4. Step 4: Simplify right side
    261,088x = 327,884,502,544
  5. Step 5: Solve for x
    x = 327,884,502,544/261,088
  6. Step 6: Final answer
    x = 1,255,839.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.