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Finding the Third Proportional to 283,965 and 607,332

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Solution

The third proportional to 283,965 and 607,332 is: 1,298,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,965 : 607,332 = 607,332 : x
  2. Step 2: Convert to fraction form
    283,965/607,332 = 607,332/x
  3. Step 3: Cross multiply
    283,965x = 607,332 × 607,332
  4. Step 4: Simplify right side
    283,965x = 368,852,158,224
  5. Step 5: Solve for x
    x = 368,852,158,224/283,965
  6. Step 6: Final answer
    x = 1,298,935.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.