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Finding the Third Proportional to 593,280 and 883,224

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Solution

The third proportional to 593,280 and 883,224 is: 1,314,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,280 : 883,224 = 883,224 : x
  2. Step 2: Convert to fraction form
    593,280/883,224 = 883,224/x
  3. Step 3: Cross multiply
    593,280x = 883,224 × 883,224
  4. Step 4: Simplify right side
    593,280x = 780,084,634,176
  5. Step 5: Solve for x
    x = 780,084,634,176/593,280
  6. Step 6: Final answer
    x = 1,314,867.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.