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Finding the Third Proportional to 328,064,988 and 461,464,038

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Solution

The third proportional to 328,064,988 and 461,464,038 is: 649,106,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,064,988 : 461,464,038 = 461,464,038 : x
  2. Step 2: Convert to fraction form
    328,064,988/461,464,038 = 461,464,038/x
  3. Step 3: Cross multiply
    328,064,988x = 461,464,038 × 461,464,038
  4. Step 4: Simplify right side
    328,064,988x = 212,949,058,367,265,440
  5. Step 5: Solve for x
    x = 212,949,058,367,265,440/328,064,988
  6. Step 6: Final answer
    x = 649,106,323.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.