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Finding the Third Proportional to 333,534 and 499,389

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Solution

The third proportional to 333,534 and 499,389 is: 747,717.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,534 : 499,389 = 499,389 : x
  2. Step 2: Convert to fraction form
    333,534/499,389 = 499,389/x
  3. Step 3: Cross multiply
    333,534x = 499,389 × 499,389
  4. Step 4: Simplify right side
    333,534x = 249,389,373,321
  5. Step 5: Solve for x
    x = 249,389,373,321/333,534
  6. Step 6: Final answer
    x = 747,717.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.