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Finding the Third Proportional to 261,127.50 and 571,461

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Solution

The third proportional to 261,127.50 and 571,461 is: 1,250,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,127.50 : 571,461 = 571,461 : x
  2. Step 2: Convert to fraction form
    261,127.50/571,461 = 571,461/x
  3. Step 3: Cross multiply
    261,127.50x = 571,461 × 571,461
  4. Step 4: Simplify right side
    261,127.50x = 326,567,674,521
  5. Step 5: Solve for x
    x = 326,567,674,521/261,127.50
  6. Step 6: Final answer
    x = 1,250,606.22

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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.