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Finding the Third Proportional to 463,829.25 and 997,776

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Solution

The third proportional to 463,829.25 and 997,776 is: 2,146,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,829.25 : 997,776 = 997,776 : x
  2. Step 2: Convert to fraction form
    463,829.25/997,776 = 997,776/x
  3. Step 3: Cross multiply
    463,829.25x = 997,776 × 997,776
  4. Step 4: Simplify right side
    463,829.25x = 995,556,946,176
  5. Step 5: Solve for x
    x = 995,556,946,176/463,829.25
  6. Step 6: Final answer
    x = 2,146,386.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.