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Finding the Third Proportional to 463,054 and 713,033

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Solution

The third proportional to 463,054 and 713,033 is: 1,097,962.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,054 : 713,033 = 713,033 : x
  2. Step 2: Convert to fraction form
    463,054/713,033 = 713,033/x
  3. Step 3: Cross multiply
    463,054x = 713,033 × 713,033
  4. Step 4: Simplify right side
    463,054x = 508,416,059,089
  5. Step 5: Solve for x
    x = 508,416,059,089/463,054
  6. Step 6: Final answer
    x = 1,097,962.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.