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Finding the Third Proportional to 473,321 and 714,909.50

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Solution

The third proportional to 473,321 and 714,909.50 is: 1,079,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,321 : 714,909.50 = 714,909.50 : x
  2. Step 2: Convert to fraction form
    473,321/714,909.50 = 714,909.50/x
  3. Step 3: Cross multiply
    473,321x = 714,909.50 × 714,909.50
  4. Step 4: Simplify right side
    473,321x = 511,095,593,190.25
  5. Step 5: Solve for x
    x = 511,095,593,190.25/473,321
  6. Step 6: Final answer
    x = 1,079,807.56

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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.