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Finding the Third Proportional to 437,354 and 714,159

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Solution

The third proportional to 437,354 and 714,159 is: 1,166,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,354 : 714,159 = 714,159 : x
  2. Step 2: Convert to fraction form
    437,354/714,159 = 714,159/x
  3. Step 3: Cross multiply
    437,354x = 714,159 × 714,159
  4. Step 4: Simplify right side
    437,354x = 510,023,077,281
  5. Step 5: Solve for x
    x = 510,023,077,281/437,354
  6. Step 6: Final answer
    x = 1,166,156.20

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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.