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Finding the Third Proportional to 274,140 and 634,594.50

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Solution

The third proportional to 274,140 and 634,594.50 is: 1,468,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,140 : 634,594.50 = 634,594.50 : x
  2. Step 2: Convert to fraction form
    274,140/634,594.50 = 634,594.50/x
  3. Step 3: Cross multiply
    274,140x = 634,594.50 × 634,594.50
  4. Step 4: Simplify right side
    274,140x = 402,710,179,430.25
  5. Step 5: Solve for x
    x = 402,710,179,430.25/274,140
  6. Step 6: Final answer
    x = 1,468,994.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.