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Finding the Third Proportional to 597,301 and 924,841.50

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Solution

The third proportional to 597,301 and 924,841.50 is: 1,431,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,301 : 924,841.50 = 924,841.50 : x
  2. Step 2: Convert to fraction form
    597,301/924,841.50 = 924,841.50/x
  3. Step 3: Cross multiply
    597,301x = 924,841.50 × 924,841.50
  4. Step 4: Simplify right side
    597,301x = 855,331,800,122.25
  5. Step 5: Solve for x
    x = 855,331,800,122.25/597,301
  6. Step 6: Final answer
    x = 1,431,994.59

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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.