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Finding the Third Proportional to 683,205 and 973,239

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Solution

The third proportional to 683,205 and 973,239 is: 1,386,398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,205 : 973,239 = 973,239 : x
  2. Step 2: Convert to fraction form
    683,205/973,239 = 973,239/x
  3. Step 3: Cross multiply
    683,205x = 973,239 × 973,239
  4. Step 4: Simplify right side
    683,205x = 947,194,151,121
  5. Step 5: Solve for x
    x = 947,194,151,121/683,205
  6. Step 6: Final answer
    x = 1,386,398.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.