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Finding the Third Proportional to 497,243 and 736,539

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Solution

The third proportional to 497,243 and 736,539 is: 1,090,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,243 : 736,539 = 736,539 : x
  2. Step 2: Convert to fraction form
    497,243/736,539 = 736,539/x
  3. Step 3: Cross multiply
    497,243x = 736,539 × 736,539
  4. Step 4: Simplify right side
    497,243x = 542,489,698,521
  5. Step 5: Solve for x
    x = 542,489,698,521/497,243
  6. Step 6: Final answer
    x = 1,090,995.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.