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Finding the Third Proportional to 544,758 and 900,297

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Solution

The third proportional to 544,758 and 900,297 is: 1,487,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,758 : 900,297 = 900,297 : x
  2. Step 2: Convert to fraction form
    544,758/900,297 = 900,297/x
  3. Step 3: Cross multiply
    544,758x = 900,297 × 900,297
  4. Step 4: Simplify right side
    544,758x = 810,534,688,209
  5. Step 5: Solve for x
    x = 810,534,688,209/544,758
  6. Step 6: Final answer
    x = 1,487,880.28

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.