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Finding the Third Proportional to 369,133.14 and 554,045.70

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Solution

The third proportional to 369,133.14 and 554,045.70 is: 831,587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,133.14 : 554,045.70 = 554,045.70 : x
  2. Step 2: Convert to fraction form
    369,133.14/554,045.70 = 554,045.70/x
  3. Step 3: Cross multiply
    369,133.14x = 554,045.70 × 554,045.70
  4. Step 4: Simplify right side
    369,133.14x = 306,966,632,494.31
  5. Step 5: Solve for x
    x = 306,966,632,494.31/369,133.14
  6. Step 6: Final answer
    x = 831,587.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.