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Finding the Third Proportional to 495,363 and 787,242

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Solution

The third proportional to 495,363 and 787,242 is: 1,251,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,363 : 787,242 = 787,242 : x
  2. Step 2: Convert to fraction form
    495,363/787,242 = 787,242/x
  3. Step 3: Cross multiply
    495,363x = 787,242 × 787,242
  4. Step 4: Simplify right side
    495,363x = 619,749,966,564
  5. Step 5: Solve for x
    x = 619,749,966,564/495,363
  6. Step 6: Final answer
    x = 1,251,102.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.