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Finding the Third Proportional to 362,205 and 573,409.13

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Solution

The third proportional to 362,205 and 573,409.13 is: 907,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,205 : 573,409.13 = 573,409.13 : x
  2. Step 2: Convert to fraction form
    362,205/573,409.13 = 573,409.13/x
  3. Step 3: Cross multiply
    362,205x = 573,409.13 × 573,409.13
  4. Step 4: Simplify right side
    362,205x = 328,798,024,633.27
  5. Step 5: Solve for x
    x = 328,798,024,633.27/362,205
  6. Step 6: Final answer
    x = 907,767.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.