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Finding the Third Proportional to 472,050.75 and 711,994.50

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Solution

The third proportional to 472,050.75 and 711,994.50 is: 1,073,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,050.75 : 711,994.50 = 711,994.50 : x
  2. Step 2: Convert to fraction form
    472,050.75/711,994.50 = 711,994.50/x
  3. Step 3: Cross multiply
    472,050.75x = 711,994.50 × 711,994.50
  4. Step 4: Simplify right side
    472,050.75x = 506,936,168,030.25
  5. Step 5: Solve for x
    x = 506,936,168,030.25/472,050.75
  6. Step 6: Final answer
    x = 1,073,901.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.