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Finding the Third Proportional to 475,656 and 696,417

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Solution

The third proportional to 475,656 and 696,417 is: 1,019,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,656 : 696,417 = 696,417 : x
  2. Step 2: Convert to fraction form
    475,656/696,417 = 696,417/x
  3. Step 3: Cross multiply
    475,656x = 696,417 × 696,417
  4. Step 4: Simplify right side
    475,656x = 484,996,637,889
  5. Step 5: Solve for x
    x = 484,996,637,889/475,656
  6. Step 6: Final answer
    x = 1,019,637.38

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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.