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Finding the Third Proportional to 344,822 and 535,164

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Solution

The third proportional to 344,822 and 535,164 is: 830,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,822 : 535,164 = 535,164 : x
  2. Step 2: Convert to fraction form
    344,822/535,164 = 535,164/x
  3. Step 3: Cross multiply
    344,822x = 535,164 × 535,164
  4. Step 4: Simplify right side
    344,822x = 286,400,506,896
  5. Step 5: Solve for x
    x = 286,400,506,896/344,822
  6. Step 6: Final answer
    x = 830,574.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.