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Finding the Third Proportional to 328,229,412 and 519,742,962

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Solution

The third proportional to 328,229,412 and 519,742,962 is: 822,999,818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,229,412 : 519,742,962 = 519,742,962 : x
  2. Step 2: Convert to fraction form
    328,229,412/519,742,962 = 519,742,962/x
  3. Step 3: Cross multiply
    328,229,412x = 519,742,962 × 519,742,962
  4. Step 4: Simplify right side
    328,229,412x = 270,132,746,548,533,440
  5. Step 5: Solve for x
    x = 270,132,746,548,533,440/328,229,412
  6. Step 6: Final answer
    x = 822,999,818.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.