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Finding the Third Proportional to 573,424 and 910,983

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Solution

The third proportional to 573,424 and 910,983 is: 1,447,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,424 : 910,983 = 910,983 : x
  2. Step 2: Convert to fraction form
    573,424/910,983 = 910,983/x
  3. Step 3: Cross multiply
    573,424x = 910,983 × 910,983
  4. Step 4: Simplify right side
    573,424x = 829,890,026,289
  5. Step 5: Solve for x
    x = 829,890,026,289/573,424
  6. Step 6: Final answer
    x = 1,447,253.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.