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Finding the Third Proportional to 384,597 and 597,060

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Solution

The third proportional to 384,597 and 597,060 is: 926,893.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,597 : 597,060 = 597,060 : x
  2. Step 2: Convert to fraction form
    384,597/597,060 = 597,060/x
  3. Step 3: Cross multiply
    384,597x = 597,060 × 597,060
  4. Step 4: Simplify right side
    384,597x = 356,480,643,600
  5. Step 5: Solve for x
    x = 356,480,643,600/384,597
  6. Step 6: Final answer
    x = 926,893.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.