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Finding the Third Proportional to 507,616,860 and 684,894,329

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Solution

The third proportional to 507,616,860 and 684,894,329 is: 924,083,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,616,860 : 684,894,329 = 684,894,329 : x
  2. Step 2: Convert to fraction form
    507,616,860/684,894,329 = 684,894,329/x
  3. Step 3: Cross multiply
    507,616,860x = 684,894,329 × 684,894,329
  4. Step 4: Simplify right side
    507,616,860x = 469,080,241,896,360,256
  5. Step 5: Solve for x
    x = 469,080,241,896,360,256/507,616,860
  6. Step 6: Final answer
    x = 924,083,258.18

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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.