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Finding the Third Proportional to 596,070 and 1,277,365.50

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Solution

The third proportional to 596,070 and 1,277,365.50 is: 2,737,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,070 : 1,277,365.50 = 1,277,365.50 : x
  2. Step 2: Convert to fraction form
    596,070/1,277,365.50 = 1,277,365.50/x
  3. Step 3: Cross multiply
    596,070x = 1,277,365.50 × 1,277,365.50
  4. Step 4: Simplify right side
    596,070x = 1,631,662,620,590.25
  5. Step 5: Solve for x
    x = 1,631,662,620,590.25/596,070
  6. Step 6: Final answer
    x = 2,737,367.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.