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Finding the Third Proportional to 517,572 and 712,710

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Solution

The third proportional to 517,572 and 712,710 is: 981,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,572 : 712,710 = 712,710 : x
  2. Step 2: Convert to fraction form
    517,572/712,710 = 712,710/x
  3. Step 3: Cross multiply
    517,572x = 712,710 × 712,710
  4. Step 4: Simplify right side
    517,572x = 507,955,544,100
  5. Step 5: Solve for x
    x = 507,955,544,100/517,572
  6. Step 6: Final answer
    x = 981,420.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.