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Finding the Third Proportional to 319,024 and 464,688

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Solution

The third proportional to 319,024 and 464,688 is: 676,861.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,024 : 464,688 = 464,688 : x
  2. Step 2: Convert to fraction form
    319,024/464,688 = 464,688/x
  3. Step 3: Cross multiply
    319,024x = 464,688 × 464,688
  4. Step 4: Simplify right side
    319,024x = 215,934,937,344
  5. Step 5: Solve for x
    x = 215,934,937,344/319,024
  6. Step 6: Final answer
    x = 676,861.11

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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.