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Finding the Third Proportional to 370,875 and 529,852.50

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Solution

The third proportional to 370,875 and 529,852.50 is: 756,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,875 : 529,852.50 = 529,852.50 : x
  2. Step 2: Convert to fraction form
    370,875/529,852.50 = 529,852.50/x
  3. Step 3: Cross multiply
    370,875x = 529,852.50 × 529,852.50
  4. Step 4: Simplify right side
    370,875x = 280,743,671,756.25
  5. Step 5: Solve for x
    x = 280,743,671,756.25/370,875
  6. Step 6: Final answer
    x = 756,976.53

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.