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Finding the Third Proportional to 295,205 and 611,416

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Solution

The third proportional to 295,205 and 611,416 is: 1,266,338.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,205 : 611,416 = 611,416 : x
  2. Step 2: Convert to fraction form
    295,205/611,416 = 611,416/x
  3. Step 3: Cross multiply
    295,205x = 611,416 × 611,416
  4. Step 4: Simplify right side
    295,205x = 373,829,525,056
  5. Step 5: Solve for x
    x = 373,829,525,056/295,205
  6. Step 6: Final answer
    x = 1,266,338.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.