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Finding the Third Proportional to 262,580 and 572,688

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Solution

The third proportional to 262,580 and 572,688 is: 1,249,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,580 : 572,688 = 572,688 : x
  2. Step 2: Convert to fraction form
    262,580/572,688 = 572,688/x
  3. Step 3: Cross multiply
    262,580x = 572,688 × 572,688
  4. Step 4: Simplify right side
    262,580x = 327,971,545,344
  5. Step 5: Solve for x
    x = 327,971,545,344/262,580
  6. Step 6: Final answer
    x = 1,249,034.75

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