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Finding the Third Proportional to 581,178 and 880,459

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Solution

The third proportional to 581,178 and 880,459 is: 1,333,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,178 : 880,459 = 880,459 : x
  2. Step 2: Convert to fraction form
    581,178/880,459 = 880,459/x
  3. Step 3: Cross multiply
    581,178x = 880,459 × 880,459
  4. Step 4: Simplify right side
    581,178x = 775,208,050,681
  5. Step 5: Solve for x
    x = 775,208,050,681/581,178
  6. Step 6: Final answer
    x = 1,333,856.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.