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Finding the Third Proportional to 362,547 and 777,564

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Solution

The third proportional to 362,547 and 777,564 is: 1,667,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,547 : 777,564 = 777,564 : x
  2. Step 2: Convert to fraction form
    362,547/777,564 = 777,564/x
  3. Step 3: Cross multiply
    362,547x = 777,564 × 777,564
  4. Step 4: Simplify right side
    362,547x = 604,605,774,096
  5. Step 5: Solve for x
    x = 604,605,774,096/362,547
  6. Step 6: Final answer
    x = 1,667,661.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.