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Finding the Third Proportional to 369,924 and 554,937

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Solution

The third proportional to 369,924 and 554,937 is: 832,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,924 : 554,937 = 554,937 : x
  2. Step 2: Convert to fraction form
    369,924/554,937 = 554,937/x
  3. Step 3: Cross multiply
    369,924x = 554,937 × 554,937
  4. Step 4: Simplify right side
    369,924x = 307,955,073,969
  5. Step 5: Solve for x
    x = 307,955,073,969/369,924
  6. Step 6: Final answer
    x = 832,482.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.