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Finding the Third Proportional to 597,302 and 924,843

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Solution

The third proportional to 597,302 and 924,843 is: 1,431,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,302 : 924,843 = 924,843 : x
  2. Step 2: Convert to fraction form
    597,302/924,843 = 924,843/x
  3. Step 3: Cross multiply
    597,302x = 924,843 × 924,843
  4. Step 4: Simplify right side
    597,302x = 855,334,574,649
  5. Step 5: Solve for x
    x = 855,334,574,649/597,302
  6. Step 6: Final answer
    x = 1,431,996.84

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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.