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Finding the Third Proportional to 582,548 and 787,060

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Solution

The third proportional to 582,548 and 787,060 is: 1,063,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,548 : 787,060 = 787,060 : x
  2. Step 2: Convert to fraction form
    582,548/787,060 = 787,060/x
  3. Step 3: Cross multiply
    582,548x = 787,060 × 787,060
  4. Step 4: Simplify right side
    582,548x = 619,463,443,600
  5. Step 5: Solve for x
    x = 619,463,443,600/582,548
  6. Step 6: Final answer
    x = 1,063,368.93

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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.