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Finding the Third Proportional to 507,616,862 and 684,894,332

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Solution

The third proportional to 507,616,862 and 684,894,332 is: 924,083,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,616,862 : 684,894,332 = 684,894,332 : x
  2. Step 2: Convert to fraction form
    507,616,862/684,894,332 = 684,894,332/x
  3. Step 3: Cross multiply
    507,616,862x = 684,894,332 × 684,894,332
  4. Step 4: Simplify right side
    507,616,862x = 469,080,246,005,726,208
  5. Step 5: Solve for x
    x = 469,080,246,005,726,208/507,616,862
  6. Step 6: Final answer
    x = 924,083,262.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.