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Finding the Third Proportional to 359,402,628 and 513,594,672

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Solution

The third proportional to 359,402,628 and 513,594,672 is: 733,938,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,402,628 : 513,594,672 = 513,594,672 : x
  2. Step 2: Convert to fraction form
    359,402,628/513,594,672 = 513,594,672/x
  3. Step 3: Cross multiply
    359,402,628x = 513,594,672 × 513,594,672
  4. Step 4: Simplify right side
    359,402,628x = 263,779,487,106,787,584
  5. Step 5: Solve for x
    x = 263,779,487,106,787,584/359,402,628
  6. Step 6: Final answer
    x = 733,938,670.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.