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Finding the Third Proportional to 306,940 and 473,532

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Solution

The third proportional to 306,940 and 473,532 is: 730,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,940 : 473,532 = 473,532 : x
  2. Step 2: Convert to fraction form
    306,940/473,532 = 473,532/x
  3. Step 3: Cross multiply
    306,940x = 473,532 × 473,532
  4. Step 4: Simplify right side
    306,940x = 224,232,555,024
  5. Step 5: Solve for x
    x = 224,232,555,024/306,940
  6. Step 6: Final answer
    x = 730,541.98

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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.