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Finding the Third Proportional to 466,337 and 713,033

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Solution

The third proportional to 466,337 and 713,033 is: 1,090,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,337 : 713,033 = 713,033 : x
  2. Step 2: Convert to fraction form
    466,337/713,033 = 713,033/x
  3. Step 3: Cross multiply
    466,337x = 713,033 × 713,033
  4. Step 4: Simplify right side
    466,337x = 508,416,059,089
  5. Step 5: Solve for x
    x = 508,416,059,089/466,337
  6. Step 6: Final answer
    x = 1,090,233.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.