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Finding the Third Proportional to 473,029 and 753,047

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Solution

The third proportional to 473,029 and 753,047 is: 1,198,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,029 : 753,047 = 753,047 : x
  2. Step 2: Convert to fraction form
    473,029/753,047 = 753,047/x
  3. Step 3: Cross multiply
    473,029x = 753,047 × 753,047
  4. Step 4: Simplify right side
    473,029x = 567,079,784,209
  5. Step 5: Solve for x
    x = 567,079,784,209/473,029
  6. Step 6: Final answer
    x = 1,198,826.68

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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.