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Finding the Third Proportional to 487,271 and 749,924

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Solution

The third proportional to 487,271 and 749,924 is: 1,154,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,271 : 749,924 = 749,924 : x
  2. Step 2: Convert to fraction form
    487,271/749,924 = 749,924/x
  3. Step 3: Cross multiply
    487,271x = 749,924 × 749,924
  4. Step 4: Simplify right side
    487,271x = 562,386,005,776
  5. Step 5: Solve for x
    x = 562,386,005,776/487,271
  6. Step 6: Final answer
    x = 1,154,154.48

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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.