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Finding the Third Proportional to 597,300 and 924,840

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Solution

The third proportional to 597,300 and 924,840 is: 1,431,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,300 : 924,840 = 924,840 : x
  2. Step 2: Convert to fraction form
    597,300/924,840 = 924,840/x
  3. Step 3: Cross multiply
    597,300x = 924,840 × 924,840
  4. Step 4: Simplify right side
    597,300x = 855,329,025,600
  5. Step 5: Solve for x
    x = 855,329,025,600/597,300
  6. Step 6: Final answer
    x = 1,431,992.34

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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.