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Finding the Third Proportional to 584,496 and 901,368

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Solution

The third proportional to 584,496 and 901,368 is: 1,390,025.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,496 : 901,368 = 901,368 : x
  2. Step 2: Convert to fraction form
    584,496/901,368 = 901,368/x
  3. Step 3: Cross multiply
    584,496x = 901,368 × 901,368
  4. Step 4: Simplify right side
    584,496x = 812,464,271,424
  5. Step 5: Solve for x
    x = 812,464,271,424/584,496
  6. Step 6: Final answer
    x = 1,390,025.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.