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Finding the Third Proportional to 345,939,004 and 557,075,729

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Solution

The third proportional to 345,939,004 and 557,075,729 is: 897,075,392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,939,004 : 557,075,729 = 557,075,729 : x
  2. Step 2: Convert to fraction form
    345,939,004/557,075,729 = 557,075,729/x
  3. Step 3: Cross multiply
    345,939,004x = 557,075,729 × 557,075,729
  4. Step 4: Simplify right side
    345,939,004x = 310,333,367,840,881,472
  5. Step 5: Solve for x
    x = 310,333,367,840,881,472/345,939,004
  6. Step 6: Final answer
    x = 897,075,392.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.