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Finding the Third Proportional to 233,528 and 369,840

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Solution

The third proportional to 233,528 and 369,840 is: 585,718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,528 : 369,840 = 369,840 : x
  2. Step 2: Convert to fraction form
    233,528/369,840 = 369,840/x
  3. Step 3: Cross multiply
    233,528x = 369,840 × 369,840
  4. Step 4: Simplify right side
    233,528x = 136,781,625,600
  5. Step 5: Solve for x
    x = 136,781,625,600/233,528
  6. Step 6: Final answer
    x = 585,718.31

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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.