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Finding the Third Proportional to 416,281.50 and 902,547

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Solution

The third proportional to 416,281.50 and 902,547 is: 1,956,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,281.50 : 902,547 = 902,547 : x
  2. Step 2: Convert to fraction form
    416,281.50/902,547 = 902,547/x
  3. Step 3: Cross multiply
    416,281.50x = 902,547 × 902,547
  4. Step 4: Simplify right side
    416,281.50x = 814,591,087,209
  5. Step 5: Solve for x
    x = 814,591,087,209/416,281.50
  6. Step 6: Final answer
    x = 1,956,827.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.