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Finding the Third Proportional to 495,239 and 744,041

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Solution

The third proportional to 495,239 and 744,041 is: 1,117,838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,239 : 744,041 = 744,041 : x
  2. Step 2: Convert to fraction form
    495,239/744,041 = 744,041/x
  3. Step 3: Cross multiply
    495,239x = 744,041 × 744,041
  4. Step 4: Simplify right side
    495,239x = 553,597,009,681
  5. Step 5: Solve for x
    x = 553,597,009,681/495,239
  6. Step 6: Final answer
    x = 1,117,838.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.