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Finding the Third Proportional to 495,887 and 736,541

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Solution

The third proportional to 495,887 and 736,541 is: 1,093,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,887 : 736,541 = 736,541 : x
  2. Step 2: Convert to fraction form
    495,887/736,541 = 736,541/x
  3. Step 3: Cross multiply
    495,887x = 736,541 × 736,541
  4. Step 4: Simplify right side
    495,887x = 542,492,644,681
  5. Step 5: Solve for x
    x = 542,492,644,681/495,887
  6. Step 6: Final answer
    x = 1,093,984.41

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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.