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Finding the Third Proportional to 285,066 and 602,316

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Solution

The third proportional to 285,066 and 602,316 is: 1,272,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,066 : 602,316 = 602,316 : x
  2. Step 2: Convert to fraction form
    285,066/602,316 = 602,316/x
  3. Step 3: Cross multiply
    285,066x = 602,316 × 602,316
  4. Step 4: Simplify right side
    285,066x = 362,784,563,856
  5. Step 5: Solve for x
    x = 362,784,563,856/285,066
  6. Step 6: Final answer
    x = 1,272,633.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.