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Finding the Third Proportional to 245,311,440 and 497,831,232

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Solution

The third proportional to 245,311,440 and 497,831,232 is: 1,010,290,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,311,440 : 497,831,232 = 497,831,232 : x
  2. Step 2: Convert to fraction form
    245,311,440/497,831,232 = 497,831,232/x
  3. Step 3: Cross multiply
    245,311,440x = 497,831,232 × 497,831,232
  4. Step 4: Simplify right side
    245,311,440x = 247,835,935,554,637,824
  5. Step 5: Solve for x
    x = 247,835,935,554,637,824/245,311,440
  6. Step 6: Final answer
    x = 1,010,290,981.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.