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Finding the Third Proportional to 358,582.50 and 772,490.25

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Solution

The third proportional to 358,582.50 and 772,490.25 is: 1,664,167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,582.50 : 772,490.25 = 772,490.25 : x
  2. Step 2: Convert to fraction form
    358,582.50/772,490.25 = 772,490.25/x
  3. Step 3: Cross multiply
    358,582.50x = 772,490.25 × 772,490.25
  4. Step 4: Simplify right side
    358,582.50x = 596,741,186,345.06
  5. Step 5: Solve for x
    x = 596,741,186,345.06/358,582.50
  6. Step 6: Final answer
    x = 1,664,167.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.