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Finding the Third Proportional to 415,681 and 608,716

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Solution

The third proportional to 415,681 and 608,716 is: 891,393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,681 : 608,716 = 608,716 : x
  2. Step 2: Convert to fraction form
    415,681/608,716 = 608,716/x
  3. Step 3: Cross multiply
    415,681x = 608,716 × 608,716
  4. Step 4: Simplify right side
    415,681x = 370,535,168,656
  5. Step 5: Solve for x
    x = 370,535,168,656/415,681
  6. Step 6: Final answer
    x = 891,393.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.