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Finding the Third Proportional to 630,167.75 and 968,613.50

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Solution

The third proportional to 630,167.75 and 968,613.50 is: 1,488,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,167.75 : 968,613.50 = 968,613.50 : x
  2. Step 2: Convert to fraction form
    630,167.75/968,613.50 = 968,613.50/x
  3. Step 3: Cross multiply
    630,167.75x = 968,613.50 × 968,613.50
  4. Step 4: Simplify right side
    630,167.75x = 938,212,112,382.25
  5. Step 5: Solve for x
    x = 938,212,112,382.25/630,167.75
  6. Step 6: Final answer
    x = 1,488,829.14

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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.