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Finding the Third Proportional to 350,205 and 535,473

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Solution

The third proportional to 350,205 and 535,473 is: 818,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,205 : 535,473 = 535,473 : x
  2. Step 2: Convert to fraction form
    350,205/535,473 = 535,473/x
  3. Step 3: Cross multiply
    350,205x = 535,473 × 535,473
  4. Step 4: Simplify right side
    350,205x = 286,731,333,729
  5. Step 5: Solve for x
    x = 286,731,333,729/350,205
  6. Step 6: Final answer
    x = 818,752.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.