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Finding the Third Proportional to 437,353 and 714,157

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Solution

The third proportional to 437,353 and 714,157 is: 1,166,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,353 : 714,157 = 714,157 : x
  2. Step 2: Convert to fraction form
    437,353/714,157 = 714,157/x
  3. Step 3: Cross multiply
    437,353x = 714,157 × 714,157
  4. Step 4: Simplify right side
    437,353x = 510,020,220,649
  5. Step 5: Solve for x
    x = 510,020,220,649/437,353
  6. Step 6: Final answer
    x = 1,166,152.33

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.