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Finding the Third Proportional to 411,312 and 897,360

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Solution

The third proportional to 411,312 and 897,360 is: 1,957,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,312 : 897,360 = 897,360 : x
  2. Step 2: Convert to fraction form
    411,312/897,360 = 897,360/x
  3. Step 3: Cross multiply
    411,312x = 897,360 × 897,360
  4. Step 4: Simplify right side
    411,312x = 805,254,969,600
  5. Step 5: Solve for x
    x = 805,254,969,600/411,312
  6. Step 6: Final answer
    x = 1,957,771.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.