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Finding the Third Proportional to 212,042.81 and 460,900.13

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Solution

The third proportional to 212,042.81 and 460,900.13 is: 1,001,820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,042.81 : 460,900.13 = 460,900.13 : x
  2. Step 2: Convert to fraction form
    212,042.81/460,900.13 = 460,900.13/x
  3. Step 3: Cross multiply
    212,042.81x = 460,900.13 × 460,900.13
  4. Step 4: Simplify right side
    212,042.81x = 212,428,925,225.02
  5. Step 5: Solve for x
    x = 212,428,925,225.02/212,042.81
  6. Step 6: Final answer
    x = 1,001,820.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.