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Finding the Third Proportional to 507,616,884 and 684,894,358

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Solution

The third proportional to 507,616,884 and 684,894,358 is: 924,083,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,616,884 : 684,894,358 = 684,894,358 : x
  2. Step 2: Convert to fraction form
    507,616,884/684,894,358 = 684,894,358/x
  3. Step 3: Cross multiply
    507,616,884x = 684,894,358 × 684,894,358
  4. Step 4: Simplify right side
    507,616,884x = 469,080,281,620,232,192
  5. Step 5: Solve for x
    x = 469,080,281,620,232,192/507,616,884
  6. Step 6: Final answer
    x = 924,083,292.75

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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.