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Finding the Third Proportional to 312,532.59 and 473,156.02

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Solution

The third proportional to 312,532.59 and 473,156.02 is: 716,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,532.59 : 473,156.02 = 473,156.02 : x
  2. Step 2: Convert to fraction form
    312,532.59/473,156.02 = 473,156.02/x
  3. Step 3: Cross multiply
    312,532.59x = 473,156.02 × 473,156.02
  4. Step 4: Simplify right side
    312,532.59x = 223,876,615,122.13
  5. Step 5: Solve for x
    x = 223,876,615,122.13/312,532.59
  6. Step 6: Final answer
    x = 716,330.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.