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Finding the Third Proportional to 463,232 and 734,106

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Solution

The third proportional to 463,232 and 734,106 is: 1,163,373.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,232 : 734,106 = 734,106 : x
  2. Step 2: Convert to fraction form
    463,232/734,106 = 734,106/x
  3. Step 3: Cross multiply
    463,232x = 734,106 × 734,106
  4. Step 4: Simplify right side
    463,232x = 538,911,619,236
  5. Step 5: Solve for x
    x = 538,911,619,236/463,232
  6. Step 6: Final answer
    x = 1,163,373.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.