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Finding the Third Proportional to 475,808 and 695,840

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Solution

The third proportional to 475,808 and 695,840 is: 1,017,623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,808 : 695,840 = 695,840 : x
  2. Step 2: Convert to fraction form
    475,808/695,840 = 695,840/x
  3. Step 3: Cross multiply
    475,808x = 695,840 × 695,840
  4. Step 4: Simplify right side
    475,808x = 484,193,305,600
  5. Step 5: Solve for x
    x = 484,193,305,600/475,808
  6. Step 6: Final answer
    x = 1,017,623.30

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Why These Related Problems?

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