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Finding the Third Proportional to 476,140 and 695,982

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Solution

The third proportional to 476,140 and 695,982 is: 1,017,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,140 : 695,982 = 695,982 : x
  2. Step 2: Convert to fraction form
    476,140/695,982 = 695,982/x
  3. Step 3: Cross multiply
    476,140x = 695,982 × 695,982
  4. Step 4: Simplify right side
    476,140x = 484,390,944,324
  5. Step 5: Solve for x
    x = 484,390,944,324/476,140
  6. Step 6: Final answer
    x = 1,017,328.82

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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.