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Finding the Third Proportional to 410,798 and 896,328

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Solution

The third proportional to 410,798 and 896,328 is: 1,955,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,798 : 896,328 = 896,328 : x
  2. Step 2: Convert to fraction form
    410,798/896,328 = 896,328/x
  3. Step 3: Cross multiply
    410,798x = 896,328 × 896,328
  4. Step 4: Simplify right side
    410,798x = 803,403,883,584
  5. Step 5: Solve for x
    x = 803,403,883,584/410,798
  6. Step 6: Final answer
    x = 1,955,715.18

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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.