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Finding the Third Proportional to 553,603.50 and 827,514

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Solution

The third proportional to 553,603.50 and 827,514 is: 1,236,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,603.50 : 827,514 = 827,514 : x
  2. Step 2: Convert to fraction form
    553,603.50/827,514 = 827,514/x
  3. Step 3: Cross multiply
    553,603.50x = 827,514 × 827,514
  4. Step 4: Simplify right side
    553,603.50x = 684,779,420,196
  5. Step 5: Solve for x
    x = 684,779,420,196/553,603.50
  6. Step 6: Final answer
    x = 1,236,949.22

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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.