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Finding the Third Proportional to 478,214 and 668,652.50

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Solution

The third proportional to 478,214 and 668,652.50 is: 934,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,214 : 668,652.50 = 668,652.50 : x
  2. Step 2: Convert to fraction form
    478,214/668,652.50 = 668,652.50/x
  3. Step 3: Cross multiply
    478,214x = 668,652.50 × 668,652.50
  4. Step 4: Simplify right side
    478,214x = 447,096,165,756.25
  5. Step 5: Solve for x
    x = 447,096,165,756.25/478,214
  6. Step 6: Final answer
    x = 934,929.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.