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Finding the Third Proportional to 523,626,208 and 780,898,465

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Solution

The third proportional to 523,626,208 and 780,898,465 is: 1,164,575,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,626,208 : 780,898,465 = 780,898,465 : x
  2. Step 2: Convert to fraction form
    523,626,208/780,898,465 = 780,898,465/x
  3. Step 3: Cross multiply
    523,626,208x = 780,898,465 × 780,898,465
  4. Step 4: Simplify right side
    523,626,208x = 609,802,412,639,356,288
  5. Step 5: Solve for x
    x = 609,802,412,639,356,288/523,626,208
  6. Step 6: Final answer
    x = 1,164,575,804.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.