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Finding the Third Proportional to 294,394 and 466,919.50

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Solution

The third proportional to 294,394 and 466,919.50 is: 740,551.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,394 : 466,919.50 = 466,919.50 : x
  2. Step 2: Convert to fraction form
    294,394/466,919.50 = 466,919.50/x
  3. Step 3: Cross multiply
    294,394x = 466,919.50 × 466,919.50
  4. Step 4: Simplify right side
    294,394x = 218,013,819,480.25
  5. Step 5: Solve for x
    x = 218,013,819,480.25/294,394
  6. Step 6: Final answer
    x = 740,551.16

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Why These Related Problems?

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