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Finding the Third Proportional to 316,984.50 and 464,097

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Solution

The third proportional to 316,984.50 and 464,097 is: 679,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,984.50 : 464,097 = 464,097 : x
  2. Step 2: Convert to fraction form
    316,984.50/464,097 = 464,097/x
  3. Step 3: Cross multiply
    316,984.50x = 464,097 × 464,097
  4. Step 4: Simplify right side
    316,984.50x = 215,386,025,409
  5. Step 5: Solve for x
    x = 215,386,025,409/316,984.50
  6. Step 6: Final answer
    x = 679,484.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.