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Finding the Third Proportional to 248,752.50 and 584,703

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Solution

The third proportional to 248,752.50 and 584,703 is: 1,374,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,752.50 : 584,703 = 584,703 : x
  2. Step 2: Convert to fraction form
    248,752.50/584,703 = 584,703/x
  3. Step 3: Cross multiply
    248,752.50x = 584,703 × 584,703
  4. Step 4: Simplify right side
    248,752.50x = 341,877,598,209
  5. Step 5: Solve for x
    x = 341,877,598,209/248,752.50
  6. Step 6: Final answer
    x = 1,374,368.49

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.