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Finding the Third Proportional to 415,506 and 594,153

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Solution

The third proportional to 415,506 and 594,153 is: 849,609.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,506 : 594,153 = 594,153 : x
  2. Step 2: Convert to fraction form
    415,506/594,153 = 594,153/x
  3. Step 3: Cross multiply
    415,506x = 594,153 × 594,153
  4. Step 4: Simplify right side
    415,506x = 353,017,787,409
  5. Step 5: Solve for x
    x = 353,017,787,409/415,506
  6. Step 6: Final answer
    x = 849,609.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.