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Finding the Third Proportional to 296,232 and 423,312

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Solution

The third proportional to 296,232 and 423,312 is: 604,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,232 : 423,312 = 423,312 : x
  2. Step 2: Convert to fraction form
    296,232/423,312 = 423,312/x
  3. Step 3: Cross multiply
    296,232x = 423,312 × 423,312
  4. Step 4: Simplify right side
    296,232x = 179,193,049,344
  5. Step 5: Solve for x
    x = 179,193,049,344/296,232
  6. Step 6: Final answer
    x = 604,907.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.