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Finding the Third Proportional to 265,502,034 and 415,574,718

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Solution

The third proportional to 265,502,034 and 415,574,718 is: 650,474,663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,502,034 : 415,574,718 = 415,574,718 : x
  2. Step 2: Convert to fraction form
    265,502,034/415,574,718 = 415,574,718/x
  3. Step 3: Cross multiply
    265,502,034x = 415,574,718 × 415,574,718
  4. Step 4: Simplify right side
    265,502,034x = 172,702,346,240,779,520
  5. Step 5: Solve for x
    x = 172,702,346,240,779,520/265,502,034
  6. Step 6: Final answer
    x = 650,474,663.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.