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Finding the Third Proportional to 369,283 and 528,036

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Solution

The third proportional to 369,283 and 528,036 is: 755,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,283 : 528,036 = 528,036 : x
  2. Step 2: Convert to fraction form
    369,283/528,036 = 528,036/x
  3. Step 3: Cross multiply
    369,283x = 528,036 × 528,036
  4. Step 4: Simplify right side
    369,283x = 278,822,017,296
  5. Step 5: Solve for x
    x = 278,822,017,296/369,283
  6. Step 6: Final answer
    x = 755,036.16

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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.