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Finding the Third Proportional to 295,896 and 423,128

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Solution

The third proportional to 295,896 and 423,128 is: 605,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,896 : 423,128 = 423,128 : x
  2. Step 2: Convert to fraction form
    295,896/423,128 = 423,128/x
  3. Step 3: Cross multiply
    295,896x = 423,128 × 423,128
  4. Step 4: Simplify right side
    295,896x = 179,037,304,384
  5. Step 5: Solve for x
    x = 179,037,304,384/295,896
  6. Step 6: Final answer
    x = 605,068.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.