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Finding the Third Proportional to 265,045,484 and 569,437,294

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Solution

The third proportional to 265,045,484 and 569,437,294 is: 1,223,408,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,045,484 : 569,437,294 = 569,437,294 : x
  2. Step 2: Convert to fraction form
    265,045,484/569,437,294 = 569,437,294/x
  3. Step 3: Cross multiply
    265,045,484x = 569,437,294 × 569,437,294
  4. Step 4: Simplify right side
    265,045,484x = 324,258,831,798,042,432
  5. Step 5: Solve for x
    x = 324,258,831,798,042,432/265,045,484
  6. Step 6: Final answer
    x = 1,223,408,250.18

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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.