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Finding the Third Proportional to 476,041.50 and 695,826

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Solution

The third proportional to 476,041.50 and 695,826 is: 1,017,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,041.50 : 695,826 = 695,826 : x
  2. Step 2: Convert to fraction form
    476,041.50/695,826 = 695,826/x
  3. Step 3: Cross multiply
    476,041.50x = 695,826 × 695,826
  4. Step 4: Simplify right side
    476,041.50x = 484,173,822,276
  5. Step 5: Solve for x
    x = 484,173,822,276/476,041.50
  6. Step 6: Final answer
    x = 1,017,083.22

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.