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Finding the Third Proportional to 262,592 and 572,710

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Solution

The third proportional to 262,592 and 572,710 is: 1,249,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,592 : 572,710 = 572,710 : x
  2. Step 2: Convert to fraction form
    262,592/572,710 = 572,710/x
  3. Step 3: Cross multiply
    262,592x = 572,710 × 572,710
  4. Step 4: Simplify right side
    262,592x = 327,996,744,100
  5. Step 5: Solve for x
    x = 327,996,744,100/262,592
  6. Step 6: Final answer
    x = 1,249,073.64

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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.