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Finding the Third Proportional to 292,650,264 and 427,988,457

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Solution

The third proportional to 292,650,264 and 427,988,457 is: 625,914,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,650,264 : 427,988,457 = 427,988,457 : x
  2. Step 2: Convert to fraction form
    292,650,264/427,988,457 = 427,988,457/x
  3. Step 3: Cross multiply
    292,650,264x = 427,988,457 × 427,988,457
  4. Step 4: Simplify right side
    292,650,264x = 183,174,119,325,240,864
  5. Step 5: Solve for x
    x = 183,174,119,325,240,864/292,650,264
  6. Step 6: Final answer
    x = 625,914,758.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.