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Finding the Third Proportional to 523,643 and 805,877

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Solution

The third proportional to 523,643 and 805,877 is: 1,240,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,643 : 805,877 = 805,877 : x
  2. Step 2: Convert to fraction form
    523,643/805,877 = 805,877/x
  3. Step 3: Cross multiply
    523,643x = 805,877 × 805,877
  4. Step 4: Simplify right side
    523,643x = 649,437,739,129
  5. Step 5: Solve for x
    x = 649,437,739,129/523,643
  6. Step 6: Final answer
    x = 1,240,229.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.