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Finding the Third Proportional to 410,528 and 895,360

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Solution

The third proportional to 410,528 and 895,360 is: 1,952,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,528 : 895,360 = 895,360 : x
  2. Step 2: Convert to fraction form
    410,528/895,360 = 895,360/x
  3. Step 3: Cross multiply
    410,528x = 895,360 × 895,360
  4. Step 4: Simplify right side
    410,528x = 801,669,529,600
  5. Step 5: Solve for x
    x = 801,669,529,600/410,528
  6. Step 6: Final answer
    x = 1,952,776.74

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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.