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Finding the Third Proportional to 478,868 and 714,149.50

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Solution

The third proportional to 478,868 and 714,149.50 is: 1,065,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,868 : 714,149.50 = 714,149.50 : x
  2. Step 2: Convert to fraction form
    478,868/714,149.50 = 714,149.50/x
  3. Step 3: Cross multiply
    478,868x = 714,149.50 × 714,149.50
  4. Step 4: Simplify right side
    478,868x = 510,009,508,350.25
  5. Step 5: Solve for x
    x = 510,009,508,350.25/478,868
  6. Step 6: Final answer
    x = 1,065,031.51

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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.