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Finding the Third Proportional to 265,369 and 390,223.50

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Solution

The third proportional to 265,369 and 390,223.50 is: 573,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,369 : 390,223.50 = 390,223.50 : x
  2. Step 2: Convert to fraction form
    265,369/390,223.50 = 390,223.50/x
  3. Step 3: Cross multiply
    265,369x = 390,223.50 × 390,223.50
  4. Step 4: Simplify right side
    265,369x = 152,274,379,952.25
  5. Step 5: Solve for x
    x = 152,274,379,952.25/265,369
  6. Step 6: Final answer
    x = 573,821.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.