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Finding the Third Proportional to 233,411.63 and 370,529.44

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Solution

The third proportional to 233,411.63 and 370,529.44 is: 588,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,411.63 : 370,529.44 = 370,529.44 : x
  2. Step 2: Convert to fraction form
    233,411.63/370,529.44 = 370,529.44/x
  3. Step 3: Cross multiply
    233,411.63x = 370,529.44 × 370,529.44
  4. Step 4: Simplify right side
    233,411.63x = 137,292,064,054.07
  5. Step 5: Solve for x
    x = 137,292,064,054.07/233,411.63
  6. Step 6: Final answer
    x = 588,197.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.