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Finding the Third Proportional to 355,060 and 499,416

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Solution

The third proportional to 355,060 and 499,416 is: 702,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,060 : 499,416 = 499,416 : x
  2. Step 2: Convert to fraction form
    355,060/499,416 = 499,416/x
  3. Step 3: Cross multiply
    355,060x = 499,416 × 499,416
  4. Step 4: Simplify right side
    355,060x = 249,416,341,056
  5. Step 5: Solve for x
    x = 249,416,341,056/355,060
  6. Step 6: Final answer
    x = 702,462.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.