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Finding the Third Proportional to 535,596 and 710,808

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Solution

The third proportional to 535,596 and 710,808 is: 943,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,596 : 710,808 = 710,808 : x
  2. Step 2: Convert to fraction form
    535,596/710,808 = 710,808/x
  3. Step 3: Cross multiply
    535,596x = 710,808 × 710,808
  4. Step 4: Simplify right side
    535,596x = 505,248,012,864
  5. Step 5: Solve for x
    x = 505,248,012,864/535,596
  6. Step 6: Final answer
    x = 943,337.91

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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.