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Finding the Third Proportional to 499,897.50 and 714,354.75

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Solution

The third proportional to 499,897.50 and 714,354.75 is: 1,020,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,897.50 : 714,354.75 = 714,354.75 : x
  2. Step 2: Convert to fraction form
    499,897.50/714,354.75 = 714,354.75/x
  3. Step 3: Cross multiply
    499,897.50x = 714,354.75 × 714,354.75
  4. Step 4: Simplify right side
    499,897.50x = 510,302,708,847.56
  5. Step 5: Solve for x
    x = 510,302,708,847.56/499,897.50
  6. Step 6: Final answer
    x = 1,020,814.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.