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Finding the Third Proportional to 356,160.91 and 778,827.62

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Solution

The third proportional to 356,160.91 and 778,827.62 is: 1,703,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,160.91 : 778,827.62 = 778,827.62 : x
  2. Step 2: Convert to fraction form
    356,160.91/778,827.62 = 778,827.62/x
  3. Step 3: Cross multiply
    356,160.91x = 778,827.62 × 778,827.62
  4. Step 4: Simplify right side
    356,160.91x = 606,572,464,234.20
  5. Step 5: Solve for x
    x = 606,572,464,234.20/356,160.91
  6. Step 6: Final answer
    x = 1,703,085.47

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