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Finding the Third Proportional to 415,042 and 607,784

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Solution

The third proportional to 415,042 and 607,784 is: 890,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,042 : 607,784 = 607,784 : x
  2. Step 2: Convert to fraction form
    415,042/607,784 = 607,784/x
  3. Step 3: Cross multiply
    415,042x = 607,784 × 607,784
  4. Step 4: Simplify right side
    415,042x = 369,401,390,656
  5. Step 5: Solve for x
    x = 369,401,390,656/415,042
  6. Step 6: Final answer
    x = 890,033.76

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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.