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Finding the Third Proportional to 270,457,960 and 404,094,840

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Solution

The third proportional to 270,457,960 and 404,094,840 is: 603,763,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,457,960 : 404,094,840 = 404,094,840 : x
  2. Step 2: Convert to fraction form
    270,457,960/404,094,840 = 404,094,840/x
  3. Step 3: Cross multiply
    270,457,960x = 404,094,840 × 404,094,840
  4. Step 4: Simplify right side
    270,457,960x = 163,292,639,714,625,600
  5. Step 5: Solve for x
    x = 163,292,639,714,625,600/270,457,960
  6. Step 6: Final answer
    x = 603,763,482.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.