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Finding the Third Proportional to 469,440 and 706,410

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Solution

The third proportional to 469,440 and 706,410 is: 1,063,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,440 : 706,410 = 706,410 : x
  2. Step 2: Convert to fraction form
    469,440/706,410 = 706,410/x
  3. Step 3: Cross multiply
    469,440x = 706,410 × 706,410
  4. Step 4: Simplify right side
    469,440x = 499,015,088,100
  5. Step 5: Solve for x
    x = 499,015,088,100/469,440
  6. Step 6: Final answer
    x = 1,063,000.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.