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Finding the Third Proportional to 364,095 and 565,312.50

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Solution

The third proportional to 364,095 and 565,312.50 is: 877,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,095 : 565,312.50 = 565,312.50 : x
  2. Step 2: Convert to fraction form
    364,095/565,312.50 = 565,312.50/x
  3. Step 3: Cross multiply
    364,095x = 565,312.50 × 565,312.50
  4. Step 4: Simplify right side
    364,095x = 319,578,222,656.25
  5. Step 5: Solve for x
    x = 319,578,222,656.25/364,095
  6. Step 6: Final answer
    x = 877,733.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.