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Finding the Third Proportional to 237,547.69 and 512,228.81

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Solution

The third proportional to 237,547.69 and 512,228.81 is: 1,104,529.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,547.69 : 512,228.81 = 512,228.81 : x
  2. Step 2: Convert to fraction form
    237,547.69/512,228.81 = 512,228.81/x
  3. Step 3: Cross multiply
    237,547.69x = 512,228.81 × 512,228.81
  4. Step 4: Simplify right side
    237,547.69x = 262,378,356,355.16
  5. Step 5: Solve for x
    x = 262,378,356,355.16/237,547.69
  6. Step 6: Final answer
    x = 1,104,529.20

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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.