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Finding the Third Proportional to 296,368 and 423,501

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Solution

The third proportional to 296,368 and 423,501 is: 605,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,368 : 423,501 = 423,501 : x
  2. Step 2: Convert to fraction form
    296,368/423,501 = 423,501/x
  3. Step 3: Cross multiply
    296,368x = 423,501 × 423,501
  4. Step 4: Simplify right side
    296,368x = 179,353,097,001
  5. Step 5: Solve for x
    x = 179,353,097,001/296,368
  6. Step 6: Final answer
    x = 605,170.25

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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.