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Finding the Third Proportional to 581,764 and 900,294

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Solution

The third proportional to 581,764 and 900,294 is: 1,393,226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,764 : 900,294 = 900,294 : x
  2. Step 2: Convert to fraction form
    581,764/900,294 = 900,294/x
  3. Step 3: Cross multiply
    581,764x = 900,294 × 900,294
  4. Step 4: Simplify right side
    581,764x = 810,529,286,436
  5. Step 5: Solve for x
    x = 810,529,286,436/581,764
  6. Step 6: Final answer
    x = 1,393,226.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.