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Finding the Third Proportional to 738,123 and 1,205,278.50

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Solution

The third proportional to 738,123 and 1,205,278.50 is: 1,968,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,123 : 1,205,278.50 = 1,205,278.50 : x
  2. Step 2: Convert to fraction form
    738,123/1,205,278.50 = 1,205,278.50/x
  3. Step 3: Cross multiply
    738,123x = 1,205,278.50 × 1,205,278.50
  4. Step 4: Simplify right side
    738,123x = 1,452,696,262,562.25
  5. Step 5: Solve for x
    x = 1,452,696,262,562.25/738,123
  6. Step 6: Final answer
    x = 1,968,095.10

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Why These Related Problems?

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