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Finding the Third Proportional to 292,626 and 464,319

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Solution

The third proportional to 292,626 and 464,319 is: 736,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,626 : 464,319 = 464,319 : x
  2. Step 2: Convert to fraction form
    292,626/464,319 = 464,319/x
  3. Step 3: Cross multiply
    292,626x = 464,319 × 464,319
  4. Step 4: Simplify right side
    292,626x = 215,592,133,761
  5. Step 5: Solve for x
    x = 215,592,133,761/292,626
  6. Step 6: Final answer
    x = 736,749.75

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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.