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Finding the Third Proportional to 262,367,136 and 574,158,492

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Solution

The third proportional to 262,367,136 and 574,158,492 is: 1,256,475,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,367,136 : 574,158,492 = 574,158,492 : x
  2. Step 2: Convert to fraction form
    262,367,136/574,158,492 = 574,158,492/x
  3. Step 3: Cross multiply
    262,367,136x = 574,158,492 × 574,158,492
  4. Step 4: Simplify right side
    262,367,136x = 329,657,973,935,714,048
  5. Step 5: Solve for x
    x = 329,657,973,935,714,048/262,367,136
  6. Step 6: Final answer
    x = 1,256,475,864.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.