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Finding the Third Proportional to 482,507 and 1,031,274.50

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Solution

The third proportional to 482,507 and 1,031,274.50 is: 2,204,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,507 : 1,031,274.50 = 1,031,274.50 : x
  2. Step 2: Convert to fraction form
    482,507/1,031,274.50 = 1,031,274.50/x
  3. Step 3: Cross multiply
    482,507x = 1,031,274.50 × 1,031,274.50
  4. Step 4: Simplify right side
    482,507x = 1,063,527,094,350.25
  5. Step 5: Solve for x
    x = 1,063,527,094,350.25/482,507
  6. Step 6: Final answer
    x = 2,204,169.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.