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Finding the Third Proportional to 495,890 and 736,545

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Solution

The third proportional to 495,890 and 736,545 is: 1,093,989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,890 : 736,545 = 736,545 : x
  2. Step 2: Convert to fraction form
    495,890/736,545 = 736,545/x
  3. Step 3: Cross multiply
    495,890x = 736,545 × 736,545
  4. Step 4: Simplify right side
    495,890x = 542,498,537,025
  5. Step 5: Solve for x
    x = 542,498,537,025/495,890
  6. Step 6: Final answer
    x = 1,093,989.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.