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Finding the Third Proportional to 216,078.50 and 466,778

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Solution

The third proportional to 216,078.50 and 466,778 is: 1,008,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,078.50 : 466,778 = 466,778 : x
  2. Step 2: Convert to fraction form
    216,078.50/466,778 = 466,778/x
  3. Step 3: Cross multiply
    216,078.50x = 466,778 × 466,778
  4. Step 4: Simplify right side
    216,078.50x = 217,881,701,284
  5. Step 5: Solve for x
    x = 217,881,701,284/216,078.50
  6. Step 6: Final answer
    x = 1,008,345.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.