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Finding the Third Proportional to 404,655.75 and 608,026.50

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Solution

The third proportional to 404,655.75 and 608,026.50 is: 913,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,655.75 : 608,026.50 = 608,026.50 : x
  2. Step 2: Convert to fraction form
    404,655.75/608,026.50 = 608,026.50/x
  3. Step 3: Cross multiply
    404,655.75x = 608,026.50 × 608,026.50
  4. Step 4: Simplify right side
    404,655.75x = 369,696,224,702.25
  5. Step 5: Solve for x
    x = 369,696,224,702.25/404,655.75
  6. Step 6: Final answer
    x = 913,606.75

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Why These Related Problems?

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