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Finding the Third Proportional to 597,294 and 924,832.50

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Solution

The third proportional to 597,294 and 924,832.50 is: 1,431,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,294 : 924,832.50 = 924,832.50 : x
  2. Step 2: Convert to fraction form
    597,294/924,832.50 = 924,832.50/x
  3. Step 3: Cross multiply
    597,294x = 924,832.50 × 924,832.50
  4. Step 4: Simplify right side
    597,294x = 855,315,153,056.25
  5. Step 5: Solve for x
    x = 855,315,153,056.25/597,294
  6. Step 6: Final answer
    x = 1,431,983.50

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