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Finding the Third Proportional to 499,360 and 730,350

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Solution

The third proportional to 499,360 and 730,350 is: 1,068,189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,360 : 730,350 = 730,350 : x
  2. Step 2: Convert to fraction form
    499,360/730,350 = 730,350/x
  3. Step 3: Cross multiply
    499,360x = 730,350 × 730,350
  4. Step 4: Simplify right side
    499,360x = 533,411,122,500
  5. Step 5: Solve for x
    x = 533,411,122,500/499,360
  6. Step 6: Final answer
    x = 1,068,189.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.