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Finding the Third Proportional to 522,070 and 830,724

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Solution

The third proportional to 522,070 and 830,724 is: 1,321,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,070 : 830,724 = 830,724 : x
  2. Step 2: Convert to fraction form
    522,070/830,724 = 830,724/x
  3. Step 3: Cross multiply
    522,070x = 830,724 × 830,724
  4. Step 4: Simplify right side
    522,070x = 690,102,364,176
  5. Step 5: Solve for x
    x = 690,102,364,176/522,070
  6. Step 6: Final answer
    x = 1,321,857.92

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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.