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Finding the Third Proportional to 582,972 and 857,784

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Solution

The third proportional to 582,972 and 857,784 is: 1,262,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,972 : 857,784 = 857,784 : x
  2. Step 2: Convert to fraction form
    582,972/857,784 = 857,784/x
  3. Step 3: Cross multiply
    582,972x = 857,784 × 857,784
  4. Step 4: Simplify right side
    582,972x = 735,793,390,656
  5. Step 5: Solve for x
    x = 735,793,390,656/582,972
  6. Step 6: Final answer
    x = 1,262,141.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.