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Finding the Third Proportional to 252,253 and 390,595.50

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Solution

The third proportional to 252,253 and 390,595.50 is: 604,808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,253 : 390,595.50 = 390,595.50 : x
  2. Step 2: Convert to fraction form
    252,253/390,595.50 = 390,595.50/x
  3. Step 3: Cross multiply
    252,253x = 390,595.50 × 390,595.50
  4. Step 4: Simplify right side
    252,253x = 152,564,844,620.25
  5. Step 5: Solve for x
    x = 152,564,844,620.25/252,253
  6. Step 6: Final answer
    x = 604,808.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.