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Finding the Third Proportional to 575,964 and 810,729

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Solution

The third proportional to 575,964 and 810,729 is: 1,141,185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,964 : 810,729 = 810,729 : x
  2. Step 2: Convert to fraction form
    575,964/810,729 = 810,729/x
  3. Step 3: Cross multiply
    575,964x = 810,729 × 810,729
  4. Step 4: Simplify right side
    575,964x = 657,281,511,441
  5. Step 5: Solve for x
    x = 657,281,511,441/575,964
  6. Step 6: Final answer
    x = 1,141,185.06

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Why These Related Problems?

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