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Finding the Third Proportional to 490,492.69 and 736,228.13

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Solution

The third proportional to 490,492.69 and 736,228.13 is: 1,105,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,492.69 : 736,228.13 = 736,228.13 : x
  2. Step 2: Convert to fraction form
    490,492.69/736,228.13 = 736,228.13/x
  3. Step 3: Cross multiply
    490,492.69x = 736,228.13 × 736,228.13
  4. Step 4: Simplify right side
    490,492.69x = 542,031,852,041.02
  5. Step 5: Solve for x
    x = 542,031,852,041.02/490,492.69
  6. Step 6: Final answer
    x = 1,105,076.32

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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.