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Finding the Third Proportional to 345,710 and 564,509

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Solution

The third proportional to 345,710 and 564,509 is: 921,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,710 : 564,509 = 564,509 : x
  2. Step 2: Convert to fraction form
    345,710/564,509 = 564,509/x
  3. Step 3: Cross multiply
    345,710x = 564,509 × 564,509
  4. Step 4: Simplify right side
    345,710x = 318,670,411,081
  5. Step 5: Solve for x
    x = 318,670,411,081/345,710
  6. Step 6: Final answer
    x = 921,785.34

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.