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Finding the Third Proportional to 390,070 and 620,632.50

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Solution

The third proportional to 390,070 and 620,632.50 is: 987,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,070 : 620,632.50 = 620,632.50 : x
  2. Step 2: Convert to fraction form
    390,070/620,632.50 = 620,632.50/x
  3. Step 3: Cross multiply
    390,070x = 620,632.50 × 620,632.50
  4. Step 4: Simplify right side
    390,070x = 385,184,700,056.25
  5. Step 5: Solve for x
    x = 385,184,700,056.25/390,070
  6. Step 6: Final answer
    x = 987,475.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.