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Finding the Third Proportional to 357,959,991 and 565,926,484.50

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Solution

The third proportional to 357,959,991 and 565,926,484.50 is: 894,716,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,959,991 : 565,926,484.50 = 565,926,484.50 : x
  2. Step 2: Convert to fraction form
    357,959,991/565,926,484.50 = 565,926,484.50/x
  3. Step 3: Cross multiply
    357,959,991x = 565,926,484.50 × 565,926,484.50
  4. Step 4: Simplify right side
    357,959,991x = 320,272,785,858,528,768
  5. Step 5: Solve for x
    x = 320,272,785,858,528,768/357,959,991
  6. Step 6: Final answer
    x = 894,716,711.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.