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Finding the Third Proportional to 357,232 and 763,594

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Solution

The third proportional to 357,232 and 763,594 is: 1,632,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,232 : 763,594 = 763,594 : x
  2. Step 2: Convert to fraction form
    357,232/763,594 = 763,594/x
  3. Step 3: Cross multiply
    357,232x = 763,594 × 763,594
  4. Step 4: Simplify right side
    357,232x = 583,075,796,836
  5. Step 5: Solve for x
    x = 583,075,796,836/357,232
  6. Step 6: Final answer
    x = 1,632,204.83

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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.