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Finding the Third Proportional to 728,964 and 1,026,085.50

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Solution

The third proportional to 728,964 and 1,026,085.50 is: 1,444,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,964 : 1,026,085.50 = 1,026,085.50 : x
  2. Step 2: Convert to fraction form
    728,964/1,026,085.50 = 1,026,085.50/x
  3. Step 3: Cross multiply
    728,964x = 1,026,085.50 × 1,026,085.50
  4. Step 4: Simplify right side
    728,964x = 1,052,851,453,310.25
  5. Step 5: Solve for x
    x = 1,052,851,453,310.25/728,964
  6. Step 6: Final answer
    x = 1,444,312.00

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.