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Finding the Third Proportional to 262,602,414 and 411,931,062

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Solution

The third proportional to 262,602,414 and 411,931,062 is: 646,175,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,602,414 : 411,931,062 = 411,931,062 : x
  2. Step 2: Convert to fraction form
    262,602,414/411,931,062 = 411,931,062/x
  3. Step 3: Cross multiply
    262,602,414x = 411,931,062 × 411,931,062
  4. Step 4: Simplify right side
    262,602,414x = 169,687,199,840,447,840
  5. Step 5: Solve for x
    x = 169,687,199,840,447,840/262,602,414
  6. Step 6: Final answer
    x = 646,175,323.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.