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Finding the Third Proportional to 535,281 and 788,136

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Solution

The third proportional to 535,281 and 788,136 is: 1,160,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,281 : 788,136 = 788,136 : x
  2. Step 2: Convert to fraction form
    535,281/788,136 = 788,136/x
  3. Step 3: Cross multiply
    535,281x = 788,136 × 788,136
  4. Step 4: Simplify right side
    535,281x = 621,158,354,496
  5. Step 5: Solve for x
    x = 621,158,354,496/535,281
  6. Step 6: Final answer
    x = 1,160,434.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.