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Finding the Third Proportional to 315,657.56 and 473,850.94

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Solution

The third proportional to 315,657.56 and 473,850.94 is: 711,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,657.56 : 473,850.94 = 473,850.94 : x
  2. Step 2: Convert to fraction form
    315,657.56/473,850.94 = 473,850.94/x
  3. Step 3: Cross multiply
    315,657.56x = 473,850.94 × 473,850.94
  4. Step 4: Simplify right side
    315,657.56x = 224,534,710,969.63
  5. Step 5: Solve for x
    x = 224,534,710,969.63/315,657.56
  6. Step 6: Final answer
    x = 711,323.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.