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Finding the Third Proportional to 467,276 and 732,060

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Solution

The third proportional to 467,276 and 732,060 is: 1,146,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,276 : 732,060 = 732,060 : x
  2. Step 2: Convert to fraction form
    467,276/732,060 = 732,060/x
  3. Step 3: Cross multiply
    467,276x = 732,060 × 732,060
  4. Step 4: Simplify right side
    467,276x = 535,911,843,600
  5. Step 5: Solve for x
    x = 535,911,843,600/467,276
  6. Step 6: Final answer
    x = 1,146,885.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.