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Finding the Third Proportional to 299,583 and 652,063.50

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Solution

The third proportional to 299,583 and 652,063.50 is: 1,419,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,583 : 652,063.50 = 652,063.50 : x
  2. Step 2: Convert to fraction form
    299,583/652,063.50 = 652,063.50/x
  3. Step 3: Cross multiply
    299,583x = 652,063.50 × 652,063.50
  4. Step 4: Simplify right side
    299,583x = 425,186,808,032.25
  5. Step 5: Solve for x
    x = 425,186,808,032.25/299,583
  6. Step 6: Final answer
    x = 1,419,262.13

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