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Finding the Third Proportional to 292,534 and 464,174

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Solution

The third proportional to 292,534 and 464,174 is: 736,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,534 : 464,174 = 464,174 : x
  2. Step 2: Convert to fraction form
    292,534/464,174 = 464,174/x
  3. Step 3: Cross multiply
    292,534x = 464,174 × 464,174
  4. Step 4: Simplify right side
    292,534x = 215,457,502,276
  5. Step 5: Solve for x
    x = 215,457,502,276/292,534
  6. Step 6: Final answer
    x = 736,521.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.