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Finding the Third Proportional to 370,828.13 and 794,143.13

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Solution

The third proportional to 370,828.13 and 794,143.13 is: 1,700,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,828.13 : 794,143.13 = 794,143.13 : x
  2. Step 2: Convert to fraction form
    370,828.13/794,143.13 = 794,143.13/x
  3. Step 3: Cross multiply
    370,828.13x = 794,143.13 × 794,143.13
  4. Step 4: Simplify right side
    370,828.13x = 630,663,302,984.77
  5. Step 5: Solve for x
    x = 630,663,302,984.77/370,828.13
  6. Step 6: Final answer
    x = 1,700,688.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.