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Finding the Third Proportional to 535,464 and 785,308

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Solution

The third proportional to 535,464 and 785,308 is: 1,151,727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,464 : 785,308 = 785,308 : x
  2. Step 2: Convert to fraction form
    535,464/785,308 = 785,308/x
  3. Step 3: Cross multiply
    535,464x = 785,308 × 785,308
  4. Step 4: Simplify right side
    535,464x = 616,708,654,864
  5. Step 5: Solve for x
    x = 616,708,654,864/535,464
  6. Step 6: Final answer
    x = 1,151,727.58

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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.