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Finding the Third Proportional to 523,715,570 and 785,573,355

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Solution

The third proportional to 523,715,570 and 785,573,355 is: 1,178,360,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,715,570 : 785,573,355 = 785,573,355 : x
  2. Step 2: Convert to fraction form
    523,715,570/785,573,355 = 785,573,355/x
  3. Step 3: Cross multiply
    523,715,570x = 785,573,355 × 785,573,355
  4. Step 4: Simplify right side
    523,715,570x = 617,125,496,085,955,968
  5. Step 5: Solve for x
    x = 617,125,496,085,955,968/523,715,570
  6. Step 6: Final answer
    x = 1,178,360,032.50

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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.