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Finding the Third Proportional to 205,537.13 and 448,327.50

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Solution

The third proportional to 205,537.13 and 448,327.50 is: 977,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,537.13 : 448,327.50 = 448,327.50 : x
  2. Step 2: Convert to fraction form
    205,537.13/448,327.50 = 448,327.50/x
  3. Step 3: Cross multiply
    205,537.13x = 448,327.50 × 448,327.50
  4. Step 4: Simplify right side
    205,537.13x = 200,997,547,256.25
  5. Step 5: Solve for x
    x = 200,997,547,256.25/205,537.13
  6. Step 6: Final answer
    x = 977,913.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.