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Finding the Third Proportional to 359,402,634 and 513,594,681

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Solution

The third proportional to 359,402,634 and 513,594,681 is: 733,938,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,402,634 : 513,594,681 = 513,594,681 : x
  2. Step 2: Convert to fraction form
    359,402,634/513,594,681 = 513,594,681/x
  3. Step 3: Cross multiply
    359,402,634x = 513,594,681 × 513,594,681
  4. Step 4: Simplify right side
    359,402,634x = 263,779,496,351,491,776
  5. Step 5: Solve for x
    x = 263,779,496,351,491,776/359,402,634
  6. Step 6: Final answer
    x = 733,938,684.35

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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.