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Finding the Third Proportional to 292,495,595 and 595,206,343

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Solution

The third proportional to 292,495,595 and 595,206,343 is: 1,211,199,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,495,595 : 595,206,343 = 595,206,343 : x
  2. Step 2: Convert to fraction form
    292,495,595/595,206,343 = 595,206,343/x
  3. Step 3: Cross multiply
    292,495,595x = 595,206,343 × 595,206,343
  4. Step 4: Simplify right side
    292,495,595x = 354,270,590,747,433,664
  5. Step 5: Solve for x
    x = 354,270,590,747,433,664/292,495,595
  6. Step 6: Final answer
    x = 1,211,199,747.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.