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Finding the Third Proportional to 362,070 and 506,436

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Solution

The third proportional to 362,070 and 506,436 is: 708,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,070 : 506,436 = 506,436 : x
  2. Step 2: Convert to fraction form
    362,070/506,436 = 506,436/x
  3. Step 3: Cross multiply
    362,070x = 506,436 × 506,436
  4. Step 4: Simplify right side
    362,070x = 256,477,422,096
  5. Step 5: Solve for x
    x = 256,477,422,096/362,070
  6. Step 6: Final answer
    x = 708,364.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.