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Finding the Third Proportional to 472,873.50 and 714,235.50

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Solution

The third proportional to 472,873.50 and 714,235.50 is: 1,078,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,873.50 : 714,235.50 = 714,235.50 : x
  2. Step 2: Convert to fraction form
    472,873.50/714,235.50 = 714,235.50/x
  3. Step 3: Cross multiply
    472,873.50x = 714,235.50 × 714,235.50
  4. Step 4: Simplify right side
    472,873.50x = 510,132,349,460.25
  5. Step 5: Solve for x
    x = 510,132,349,460.25/472,873.50
  6. Step 6: Final answer
    x = 1,078,792.42

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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.