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Finding the Third Proportional to 464,417.30 and 997,498.55

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Solution

The third proportional to 464,417.30 and 997,498.55 is: 2,142,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,417.30 : 997,498.55 = 997,498.55 : x
  2. Step 2: Convert to fraction form
    464,417.30/997,498.55 = 997,498.55/x
  3. Step 3: Cross multiply
    464,417.30x = 997,498.55 × 997,498.55
  4. Step 4: Simplify right side
    464,417.30x = 995,003,351,017.74
  5. Step 5: Solve for x
    x = 995,003,351,017.74/464,417.30
  6. Step 6: Final answer
    x = 2,142,476.94

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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.