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Finding the Third Proportional to 250,613 and 584,784

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Solution

The third proportional to 250,613 and 584,784 is: 1,364,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,613 : 584,784 = 584,784 : x
  2. Step 2: Convert to fraction form
    250,613/584,784 = 584,784/x
  3. Step 3: Cross multiply
    250,613x = 584,784 × 584,784
  4. Step 4: Simplify right side
    250,613x = 341,972,326,656
  5. Step 5: Solve for x
    x = 341,972,326,656/250,613
  6. Step 6: Final answer
    x = 1,364,543.45

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.