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Finding the Third Proportional to 973,327.50 and 1,301,971.50

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Solution

The third proportional to 973,327.50 and 1,301,971.50 is: 1,741,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,327.50 : 1,301,971.50 = 1,301,971.50 : x
  2. Step 2: Convert to fraction form
    973,327.50/1,301,971.50 = 1,301,971.50/x
  3. Step 3: Cross multiply
    973,327.50x = 1,301,971.50 × 1,301,971.50
  4. Step 4: Simplify right side
    973,327.50x = 1,695,129,786,812.25
  5. Step 5: Solve for x
    x = 1,695,129,786,812.25/973,327.50
  6. Step 6: Final answer
    x = 1,741,582.14

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