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Finding the Third Proportional to 358,112.25 and 772,263

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Solution

The third proportional to 358,112.25 and 772,263 is: 1,665,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,112.25 : 772,263 = 772,263 : x
  2. Step 2: Convert to fraction form
    358,112.25/772,263 = 772,263/x
  3. Step 3: Cross multiply
    358,112.25x = 772,263 × 772,263
  4. Step 4: Simplify right side
    358,112.25x = 596,390,141,169
  5. Step 5: Solve for x
    x = 596,390,141,169/358,112.25
  6. Step 6: Final answer
    x = 1,665,372.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.