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Finding the Third Proportional to 362,529.50 and 777,547

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Solution

The third proportional to 362,529.50 and 777,547 is: 1,667,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,529.50 : 777,547 = 777,547 : x
  2. Step 2: Convert to fraction form
    362,529.50/777,547 = 777,547/x
  3. Step 3: Cross multiply
    362,529.50x = 777,547 × 777,547
  4. Step 4: Simplify right side
    362,529.50x = 604,579,337,209
  5. Step 5: Solve for x
    x = 604,579,337,209/362,529.50
  6. Step 6: Final answer
    x = 1,667,669.35

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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.