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Finding the Third Proportional to 291,007.50 and 448,971.75

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Solution

The third proportional to 291,007.50 and 448,971.75 is: 692,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,007.50 : 448,971.75 = 448,971.75 : x
  2. Step 2: Convert to fraction form
    291,007.50/448,971.75 = 448,971.75/x
  3. Step 3: Cross multiply
    291,007.50x = 448,971.75 × 448,971.75
  4. Step 4: Simplify right side
    291,007.50x = 201,575,632,298.06
  5. Step 5: Solve for x
    x = 201,575,632,298.06/291,007.50
  6. Step 6: Final answer
    x = 692,681.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.