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Finding the Third Proportional to 473,654 and 749,928

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Solution

The third proportional to 473,654 and 749,928 is: 1,187,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,654 : 749,928 = 749,928 : x
  2. Step 2: Convert to fraction form
    473,654/749,928 = 749,928/x
  3. Step 3: Cross multiply
    473,654x = 749,928 × 749,928
  4. Step 4: Simplify right side
    473,654x = 562,392,005,184
  5. Step 5: Solve for x
    x = 562,392,005,184/473,654
  6. Step 6: Final answer
    x = 1,187,347.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.