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Finding the Third Proportional to 973,296 and 1,301,926.50

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Solution

The third proportional to 973,296 and 1,301,926.50 is: 1,741,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,296 : 1,301,926.50 = 1,301,926.50 : x
  2. Step 2: Convert to fraction form
    973,296/1,301,926.50 = 1,301,926.50/x
  3. Step 3: Cross multiply
    973,296x = 1,301,926.50 × 1,301,926.50
  4. Step 4: Simplify right side
    973,296x = 1,695,012,611,402.25
  5. Step 5: Solve for x
    x = 1,695,012,611,402.25/973,296
  6. Step 6: Final answer
    x = 1,741,518.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.