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Finding the Third Proportional to 630,613.50 and 976,903.50

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Solution

The third proportional to 630,613.50 and 976,903.50 is: 1,513,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,613.50 : 976,903.50 = 976,903.50 : x
  2. Step 2: Convert to fraction form
    630,613.50/976,903.50 = 976,903.50/x
  3. Step 3: Cross multiply
    630,613.50x = 976,903.50 × 976,903.50
  4. Step 4: Simplify right side
    630,613.50x = 954,340,448,312.25
  5. Step 5: Solve for x
    x = 954,340,448,312.25/630,613.50
  6. Step 6: Final answer
    x = 1,513,352.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.