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Finding the Third Proportional to 294,402 and 466,930.13

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Solution

The third proportional to 294,402 and 466,930.13 is: 740,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,402 : 466,930.13 = 466,930.13 : x
  2. Step 2: Convert to fraction form
    294,402/466,930.13 = 466,930.13/x
  3. Step 3: Cross multiply
    294,402x = 466,930.13 × 466,930.13
  4. Step 4: Simplify right side
    294,402x = 218,023,741,632.52
  5. Step 5: Solve for x
    x = 218,023,741,632.52/294,402
  6. Step 6: Final answer
    x = 740,564.74

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.