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Finding the Third Proportional to 291,032,075.25 and 436,441,216.50

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Solution

The third proportional to 291,032,075.25 and 436,441,216.50 is: 654,501,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,032,075.25 : 436,441,216.50 = 436,441,216.50 : x
  2. Step 2: Convert to fraction form
    291,032,075.25/436,441,216.50 = 436,441,216.50/x
  3. Step 3: Cross multiply
    291,032,075.25x = 436,441,216.50 × 436,441,216.50
  4. Step 4: Simplify right side
    291,032,075.25x = 190,480,935,459,999,872
  5. Step 5: Solve for x
    x = 190,480,935,459,999,872/291,032,075.25
  6. Step 6: Final answer
    x = 654,501,519.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.