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Finding the Third Proportional to 434,124.56 and 619,263.56

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Solution

The third proportional to 434,124.56 and 619,263.56 is: 883,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,124.56 : 619,263.56 = 619,263.56 : x
  2. Step 2: Convert to fraction form
    434,124.56/619,263.56 = 619,263.56/x
  3. Step 3: Cross multiply
    434,124.56x = 619,263.56 × 619,263.56
  4. Step 4: Simplify right side
    434,124.56x = 383,487,359,840.19
  5. Step 5: Solve for x
    x = 383,487,359,840.19/434,124.56
  6. Step 6: Final answer
    x = 883,357.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.