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Finding the Third Proportional to 262,601 and 572,730

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Solution

The third proportional to 262,601 and 572,730 is: 1,249,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,601 : 572,730 = 572,730 : x
  2. Step 2: Convert to fraction form
    262,601/572,730 = 572,730/x
  3. Step 3: Cross multiply
    262,601x = 572,730 × 572,730
  4. Step 4: Simplify right side
    262,601x = 328,019,652,900
  5. Step 5: Solve for x
    x = 328,019,652,900/262,601
  6. Step 6: Final answer
    x = 1,249,118.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.