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Finding the Third Proportional to 507,616,868 and 684,894,341

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Solution

The third proportional to 507,616,868 and 684,894,341 is: 924,083,276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,616,868 : 684,894,341 = 684,894,341 : x
  2. Step 2: Convert to fraction form
    507,616,868/684,894,341 = 684,894,341/x
  3. Step 3: Cross multiply
    507,616,868x = 684,894,341 × 684,894,341
  4. Step 4: Simplify right side
    507,616,868x = 469,080,258,333,824,256
  5. Step 5: Solve for x
    x = 469,080,258,333,824,256/507,616,868
  6. Step 6: Final answer
    x = 924,083,276.00

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