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Finding the Third Proportional to 430,060.50 and 911,394

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Solution

The third proportional to 430,060.50 and 911,394 is: 1,931,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,060.50 : 911,394 = 911,394 : x
  2. Step 2: Convert to fraction form
    430,060.50/911,394 = 911,394/x
  3. Step 3: Cross multiply
    430,060.50x = 911,394 × 911,394
  4. Step 4: Simplify right side
    430,060.50x = 830,639,023,236
  5. Step 5: Solve for x
    x = 830,639,023,236/430,060.50
  6. Step 6: Final answer
    x = 1,931,446.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.