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Finding the Third Proportional to 290,232 and 448,464

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Solution

The third proportional to 290,232 and 448,464 is: 692,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,232 : 448,464 = 448,464 : x
  2. Step 2: Convert to fraction form
    290,232/448,464 = 448,464/x
  3. Step 3: Cross multiply
    290,232x = 448,464 × 448,464
  4. Step 4: Simplify right side
    290,232x = 201,119,959,296
  5. Step 5: Solve for x
    x = 201,119,959,296/290,232
  6. Step 6: Final answer
    x = 692,962.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.