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Finding the Third Proportional to 478,264.50 and 714,843

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Solution

The third proportional to 478,264.50 and 714,843 is: 1,068,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,264.50 : 714,843 = 714,843 : x
  2. Step 2: Convert to fraction form
    478,264.50/714,843 = 714,843/x
  3. Step 3: Cross multiply
    478,264.50x = 714,843 × 714,843
  4. Step 4: Simplify right side
    478,264.50x = 511,000,514,649
  5. Step 5: Solve for x
    x = 511,000,514,649/478,264.50
  6. Step 6: Final answer
    x = 1,068,447.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.