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Finding the Third Proportional to 581,762 and 900,291

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Solution

The third proportional to 581,762 and 900,291 is: 1,393,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,762 : 900,291 = 900,291 : x
  2. Step 2: Convert to fraction form
    581,762/900,291 = 900,291/x
  3. Step 3: Cross multiply
    581,762x = 900,291 × 900,291
  4. Step 4: Simplify right side
    581,762x = 810,523,884,681
  5. Step 5: Solve for x
    x = 810,523,884,681/581,762
  6. Step 6: Final answer
    x = 1,393,222.46

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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.