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Finding the Third Proportional to 444,242 and 706,547

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Solution

The third proportional to 444,242 and 706,547 is: 1,123,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,242 : 706,547 = 706,547 : x
  2. Step 2: Convert to fraction form
    444,242/706,547 = 706,547/x
  3. Step 3: Cross multiply
    444,242x = 706,547 × 706,547
  4. Step 4: Simplify right side
    444,242x = 499,208,663,209
  5. Step 5: Solve for x
    x = 499,208,663,209/444,242
  6. Step 6: Final answer
    x = 1,123,731.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.