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Finding the Third Proportional to 738,123.75 and 1,205,280

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Solution

The third proportional to 738,123.75 and 1,205,280 is: 1,968,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,123.75 : 1,205,280 = 1,205,280 : x
  2. Step 2: Convert to fraction form
    738,123.75/1,205,280 = 1,205,280/x
  3. Step 3: Cross multiply
    738,123.75x = 1,205,280 × 1,205,280
  4. Step 4: Simplify right side
    738,123.75x = 1,452,699,878,400
  5. Step 5: Solve for x
    x = 1,452,699,878,400/738,123.75
  6. Step 6: Final answer
    x = 1,968,098.00

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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.