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Finding the Third Proportional to 318,832.17 and 476,547.19

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Solution

The third proportional to 318,832.17 and 476,547.19 is: 712,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,832.17 : 476,547.19 = 476,547.19 : x
  2. Step 2: Convert to fraction form
    318,832.17/476,547.19 = 476,547.19/x
  3. Step 3: Cross multiply
    318,832.17x = 476,547.19 × 476,547.19
  4. Step 4: Simplify right side
    318,832.17x = 227,097,221,914.16
  5. Step 5: Solve for x
    x = 227,097,221,914.16/318,832.17
  6. Step 6: Final answer
    x = 712,278.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.