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Finding the Third Proportional to 344,581,988.63 and 520,975,726.59

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Solution

The third proportional to 344,581,988.63 and 520,975,726.59 is: 787,666,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,581,988.63 : 520,975,726.59 = 520,975,726.59 : x
  2. Step 2: Convert to fraction form
    344,581,988.63/520,975,726.59 = 520,975,726.59/x
  3. Step 3: Cross multiply
    344,581,988.63x = 520,975,726.59 × 520,975,726.59
  4. Step 4: Simplify right side
    344,581,988.63x = 271,415,707,699,896,192
  5. Step 5: Solve for x
    x = 271,415,707,699,896,192/344,581,988.63
  6. Step 6: Final answer
    x = 787,666,554.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.