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Finding the Third Proportional to 543,658.50 and 1,176,916.50

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Solution

The third proportional to 543,658.50 and 1,176,916.50 is: 2,547,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,658.50 : 1,176,916.50 = 1,176,916.50 : x
  2. Step 2: Convert to fraction form
    543,658.50/1,176,916.50 = 1,176,916.50/x
  3. Step 3: Cross multiply
    543,658.50x = 1,176,916.50 × 1,176,916.50
  4. Step 4: Simplify right side
    543,658.50x = 1,385,132,447,972.25
  5. Step 5: Solve for x
    x = 1,385,132,447,972.25/543,658.50
  6. Step 6: Final answer
    x = 2,547,798.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.