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Finding the Third Proportional to 403,397 and 869,037.50

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Solution

The third proportional to 403,397 and 869,037.50 is: 1,872,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,397 : 869,037.50 = 869,037.50 : x
  2. Step 2: Convert to fraction form
    403,397/869,037.50 = 869,037.50/x
  3. Step 3: Cross multiply
    403,397x = 869,037.50 × 869,037.50
  4. Step 4: Simplify right side
    403,397x = 755,226,176,406.25
  5. Step 5: Solve for x
    x = 755,226,176,406.25/403,397
  6. Step 6: Final answer
    x = 1,872,166.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.