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Finding the Third Proportional to 265,045,486 and 569,437,298

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Solution

The third proportional to 265,045,486 and 569,437,298 is: 1,223,408,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,045,486 : 569,437,298 = 569,437,298 : x
  2. Step 2: Convert to fraction form
    265,045,486/569,437,298 = 569,437,298/x
  3. Step 3: Cross multiply
    265,045,486x = 569,437,298 × 569,437,298
  4. Step 4: Simplify right side
    265,045,486x = 324,258,836,353,540,800
  5. Step 5: Solve for x
    x = 324,258,836,353,540,800/265,045,486
  6. Step 6: Final answer
    x = 1,223,408,258.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.