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Finding the Third Proportional to 543,441 and 798,547

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Solution

The third proportional to 543,441 and 798,547 is: 1,173,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,441 : 798,547 = 798,547 : x
  2. Step 2: Convert to fraction form
    543,441/798,547 = 798,547/x
  3. Step 3: Cross multiply
    543,441x = 798,547 × 798,547
  4. Step 4: Simplify right side
    543,441x = 637,677,311,209
  5. Step 5: Solve for x
    x = 637,677,311,209/543,441
  6. Step 6: Final answer
    x = 1,173,406.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.