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Finding the Third Proportional to 369,013 and 602,564.50

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Solution

The third proportional to 369,013 and 602,564.50 is: 983,932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,013 : 602,564.50 = 602,564.50 : x
  2. Step 2: Convert to fraction form
    369,013/602,564.50 = 602,564.50/x
  3. Step 3: Cross multiply
    369,013x = 602,564.50 × 602,564.50
  4. Step 4: Simplify right side
    369,013x = 363,083,976,660.25
  5. Step 5: Solve for x
    x = 363,083,976,660.25/369,013
  6. Step 6: Final answer
    x = 983,932.75

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.