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Finding the Third Proportional to 506,394 and 776,502

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Solution

The third proportional to 506,394 and 776,502 is: 1,190,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,394 : 776,502 = 776,502 : x
  2. Step 2: Convert to fraction form
    506,394/776,502 = 776,502/x
  3. Step 3: Cross multiply
    506,394x = 776,502 × 776,502
  4. Step 4: Simplify right side
    506,394x = 602,955,356,004
  5. Step 5: Solve for x
    x = 602,955,356,004/506,394
  6. Step 6: Final answer
    x = 1,190,684.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.