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Finding the Third Proportional to 243,417.66 and 529,692.54

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Solution

The third proportional to 243,417.66 and 529,692.54 is: 1,152,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,417.66 : 529,692.54 = 529,692.54 : x
  2. Step 2: Convert to fraction form
    243,417.66/529,692.54 = 529,692.54/x
  3. Step 3: Cross multiply
    243,417.66x = 529,692.54 × 529,692.54
  4. Step 4: Simplify right side
    243,417.66x = 280,574,185,938.48
  5. Step 5: Solve for x
    x = 280,574,185,938.48/243,417.66
  6. Step 6: Final answer
    x = 1,152,645.17

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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.