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Finding the Third Proportional to 535,628 and 710,846

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Solution

The third proportional to 535,628 and 710,846 is: 943,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,628 : 710,846 = 710,846 : x
  2. Step 2: Convert to fraction form
    535,628/710,846 = 710,846/x
  3. Step 3: Cross multiply
    535,628x = 710,846 × 710,846
  4. Step 4: Simplify right side
    535,628x = 505,302,035,716
  5. Step 5: Solve for x
    x = 505,302,035,716/535,628
  6. Step 6: Final answer
    x = 943,382.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.