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Finding the Third Proportional to 467,248.50 and 710,109

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Solution

The third proportional to 467,248.50 and 710,109 is: 1,079,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,248.50 : 710,109 = 710,109 : x
  2. Step 2: Convert to fraction form
    467,248.50/710,109 = 710,109/x
  3. Step 3: Cross multiply
    467,248.50x = 710,109 × 710,109
  4. Step 4: Simplify right side
    467,248.50x = 504,254,791,881
  5. Step 5: Solve for x
    x = 504,254,791,881/467,248.50
  6. Step 6: Final answer
    x = 1,079,200.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.