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Finding the Third Proportional to 523,314 and 830,007

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Solution

The third proportional to 523,314 and 830,007 is: 1,316,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,314 : 830,007 = 830,007 : x
  2. Step 2: Convert to fraction form
    523,314/830,007 = 830,007/x
  3. Step 3: Cross multiply
    523,314x = 830,007 × 830,007
  4. Step 4: Simplify right side
    523,314x = 688,911,620,049
  5. Step 5: Solve for x
    x = 688,911,620,049/523,314
  6. Step 6: Final answer
    x = 1,316,440.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.