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Finding the Third Proportional to 475,838 and 695,889

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Solution

The third proportional to 475,838 and 695,889 is: 1,017,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,838 : 695,889 = 695,889 : x
  2. Step 2: Convert to fraction form
    475,838/695,889 = 695,889/x
  3. Step 3: Cross multiply
    475,838x = 695,889 × 695,889
  4. Step 4: Simplify right side
    475,838x = 484,261,500,321
  5. Step 5: Solve for x
    x = 484,261,500,321/475,838
  6. Step 6: Final answer
    x = 1,017,702.45

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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.