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Finding the Third Proportional to 569,316 and 873,270

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Solution

The third proportional to 569,316 and 873,270 is: 1,339,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,316 : 873,270 = 873,270 : x
  2. Step 2: Convert to fraction form
    569,316/873,270 = 873,270/x
  3. Step 3: Cross multiply
    569,316x = 873,270 × 873,270
  4. Step 4: Simplify right side
    569,316x = 762,600,492,900
  5. Step 5: Solve for x
    x = 762,600,492,900/569,316
  6. Step 6: Final answer
    x = 1,339,503.01

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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.