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Finding the Third Proportional to 356,355 and 756,436.50

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Solution

The third proportional to 356,355 and 756,436.50 is: 1,605,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,355 : 756,436.50 = 756,436.50 : x
  2. Step 2: Convert to fraction form
    356,355/756,436.50 = 756,436.50/x
  3. Step 3: Cross multiply
    356,355x = 756,436.50 × 756,436.50
  4. Step 4: Simplify right side
    356,355x = 572,196,178,532.25
  5. Step 5: Solve for x
    x = 572,196,178,532.25/356,355
  6. Step 6: Final answer
    x = 1,605,691.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.