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Finding the Third Proportional to 315,663 and 425,298

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Solution

The third proportional to 315,663 and 425,298 is: 573,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,663 : 425,298 = 425,298 : x
  2. Step 2: Convert to fraction form
    315,663/425,298 = 425,298/x
  3. Step 3: Cross multiply
    315,663x = 425,298 × 425,298
  4. Step 4: Simplify right side
    315,663x = 180,878,388,804
  5. Step 5: Solve for x
    x = 180,878,388,804/315,663
  6. Step 6: Final answer
    x = 573,011.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.