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Finding the Third Proportional to 341,332 and 459,501

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Solution

The third proportional to 341,332 and 459,501 is: 618,580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,332 : 459,501 = 459,501 : x
  2. Step 2: Convert to fraction form
    341,332/459,501 = 459,501/x
  3. Step 3: Cross multiply
    341,332x = 459,501 × 459,501
  4. Step 4: Simplify right side
    341,332x = 211,141,169,001
  5. Step 5: Solve for x
    x = 211,141,169,001/341,332
  6. Step 6: Final answer
    x = 618,580.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.