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Finding the Third Proportional to 616,063.50 and 1,348,264.13

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Solution

The third proportional to 616,063.50 and 1,348,264.13 is: 2,950,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,063.50 : 1,348,264.13 = 1,348,264.13 : x
  2. Step 2: Convert to fraction form
    616,063.50/1,348,264.13 = 1,348,264.13/x
  3. Step 3: Cross multiply
    616,063.50x = 1,348,264.13 × 1,348,264.13
  4. Step 4: Simplify right side
    616,063.50x = 1,817,816,150,762.02
  5. Step 5: Solve for x
    x = 1,817,816,150,762.02/616,063.50
  6. Step 6: Final answer
    x = 2,950,696.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.