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Finding the Third Proportional to 307,024.50 and 473,656.50

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Solution

The third proportional to 307,024.50 and 473,656.50 is: 730,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,024.50 : 473,656.50 = 473,656.50 : x
  2. Step 2: Convert to fraction form
    307,024.50/473,656.50 = 473,656.50/x
  3. Step 3: Cross multiply
    307,024.50x = 473,656.50 × 473,656.50
  4. Step 4: Simplify right side
    307,024.50x = 224,350,479,992.25
  5. Step 5: Solve for x
    x = 224,350,479,992.25/307,024.50
  6. Step 6: Final answer
    x = 730,725.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.