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Finding the Third Proportional to 458,086 and 713,304

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Solution

The third proportional to 458,086 and 713,304 is: 1,110,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,086 : 713,304 = 713,304 : x
  2. Step 2: Convert to fraction form
    458,086/713,304 = 713,304/x
  3. Step 3: Cross multiply
    458,086x = 713,304 × 713,304
  4. Step 4: Simplify right side
    458,086x = 508,802,596,416
  5. Step 5: Solve for x
    x = 508,802,596,416/458,086
  6. Step 6: Final answer
    x = 1,110,714.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.