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Finding the Third Proportional to 535,234 and 788,066

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Solution

The third proportional to 535,234 and 788,066 is: 1,160,329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,234 : 788,066 = 788,066 : x
  2. Step 2: Convert to fraction form
    535,234/788,066 = 788,066/x
  3. Step 3: Cross multiply
    535,234x = 788,066 × 788,066
  4. Step 4: Simplify right side
    535,234x = 621,048,020,356
  5. Step 5: Solve for x
    x = 621,048,020,356/535,234
  6. Step 6: Final answer
    x = 1,160,329.91

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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.