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Finding the Third Proportional to 243,888 and 514,344

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Solution

The third proportional to 243,888 and 514,344 is: 1,084,718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,888 : 514,344 = 514,344 : x
  2. Step 2: Convert to fraction form
    243,888/514,344 = 514,344/x
  3. Step 3: Cross multiply
    243,888x = 514,344 × 514,344
  4. Step 4: Simplify right side
    243,888x = 264,549,750,336
  5. Step 5: Solve for x
    x = 264,549,750,336/243,888
  6. Step 6: Final answer
    x = 1,084,718.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.