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Finding the Third Proportional to 314,733 and 499,129.50

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Solution

The third proportional to 314,733 and 499,129.50 is: 791,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,733 : 499,129.50 = 499,129.50 : x
  2. Step 2: Convert to fraction form
    314,733/499,129.50 = 499,129.50/x
  3. Step 3: Cross multiply
    314,733x = 499,129.50 × 499,129.50
  4. Step 4: Simplify right side
    314,733x = 249,130,257,770.25
  5. Step 5: Solve for x
    x = 249,130,257,770.25/314,733
  6. Step 6: Final answer
    x = 791,560.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.